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Finding the Fourth Proportional to 237.84, 355.17 and 235.31

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Solution

The fourth proportional to 237.84, 355.17 and 235.31 is: 351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 355.17 = 235.31 : x
  2. Step 2: Convert to fraction form
    237.84/355.17 = 235.31/x
  3. Step 3: Cross multiply
    237.84x = 355.17 × 235.31
  4. Step 4: Simplify right side
    237.84x = 83,573.28
  5. Step 5: Solve for x
    x = 83,573.28/237.84
  6. Step 6: Final answer
    x = 351.38

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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.