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Finding the Fourth Proportional to 216.52, 324.57 and 120.13

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Solution

The fourth proportional to 216.52, 324.57 and 120.13 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.52 : 324.57 = 120.13 : x
  2. Step 2: Convert to fraction form
    216.52/324.57 = 120.13/x
  3. Step 3: Cross multiply
    216.52x = 324.57 × 120.13
  4. Step 4: Simplify right side
    216.52x = 38,990.59
  5. Step 5: Solve for x
    x = 38,990.59/216.52
  6. Step 6: Final answer
    x = 180.08

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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.