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Finding the Fourth Proportional to 491.02, 736.35 and 144.27

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Solution

The fourth proportional to 491.02, 736.35 and 144.27 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.02 : 736.35 = 144.27 : x
  2. Step 2: Convert to fraction form
    491.02/736.35 = 144.27/x
  3. Step 3: Cross multiply
    491.02x = 736.35 × 144.27
  4. Step 4: Simplify right side
    491.02x = 106,233.21
  5. Step 5: Solve for x
    x = 106,233.21/491.02
  6. Step 6: Final answer
    x = 216.35

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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.