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Finding the Fourth Proportional to 240.71, 358.22 and 232.07

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Solution

The fourth proportional to 240.71, 358.22 and 232.07 is: 345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.71 : 358.22 = 232.07 : x
  2. Step 2: Convert to fraction form
    240.71/358.22 = 232.07/x
  3. Step 3: Cross multiply
    240.71x = 358.22 × 232.07
  4. Step 4: Simplify right side
    240.71x = 83,130.96
  5. Step 5: Solve for x
    x = 83,130.96/240.71
  6. Step 6: Final answer
    x = 345.36

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Why These Related Problems?

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