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Finding the Fourth Proportional to 216.54, 325.17 and 207.81

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Solution

The fourth proportional to 216.54, 325.17 and 207.81 is: 312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.54 : 325.17 = 207.81 : x
  2. Step 2: Convert to fraction form
    216.54/325.17 = 207.81/x
  3. Step 3: Cross multiply
    216.54x = 325.17 × 207.81
  4. Step 4: Simplify right side
    216.54x = 67,573.58
  5. Step 5: Solve for x
    x = 67,573.58/216.54
  6. Step 6: Final answer
    x = 312.06

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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.