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Finding the Fourth Proportional to 240.71, 359.06 and 232.72

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Solution

The fourth proportional to 240.71, 359.06 and 232.72 is: 347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.71 : 359.06 = 232.72 : x
  2. Step 2: Convert to fraction form
    240.71/359.06 = 232.72/x
  3. Step 3: Cross multiply
    240.71x = 359.06 × 232.72
  4. Step 4: Simplify right side
    240.71x = 83,558.38
  5. Step 5: Solve for x
    x = 83,558.38/240.71
  6. Step 6: Final answer
    x = 347.14

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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.