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Finding the Fourth Proportional to 216.72, 322.92 and 209.52

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Solution

The fourth proportional to 216.72, 322.92 and 209.52 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.72 : 322.92 = 209.52 : x
  2. Step 2: Convert to fraction form
    216.72/322.92 = 209.52/x
  3. Step 3: Cross multiply
    216.72x = 322.92 × 209.52
  4. Step 4: Simplify right side
    216.72x = 67,658.20
  5. Step 5: Solve for x
    x = 67,658.20/216.72
  6. Step 6: Final answer
    x = 312.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.