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Finding the Fourth Proportional to 736.25, 1,104.21 and 216.14

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Solution

The fourth proportional to 736.25, 1,104.21 and 216.14 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.25 : 1,104.21 = 216.14 : x
  2. Step 2: Convert to fraction form
    736.25/1,104.21 = 216.14/x
  3. Step 3: Cross multiply
    736.25x = 1,104.21 × 216.14
  4. Step 4: Simplify right side
    736.25x = 238,658.43
  5. Step 5: Solve for x
    x = 238,658.43/736.25
  6. Step 6: Final answer
    x = 324.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.