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Finding the Fourth Proportional to 216.68, 325.13 and 99.54

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Solution

The fourth proportional to 216.68, 325.13 and 99.54 is: 149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.68 : 325.13 = 99.54 : x
  2. Step 2: Convert to fraction form
    216.68/325.13 = 99.54/x
  3. Step 3: Cross multiply
    216.68x = 325.13 × 99.54
  4. Step 4: Simplify right side
    216.68x = 32,362.94
  5. Step 5: Solve for x
    x = 32,362.94/216.68
  6. Step 6: Final answer
    x = 149.36

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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.