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Finding the Fourth Proportional to 351.78, 527.31 and 146.47

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Solution

The fourth proportional to 351.78, 527.31 and 146.47 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.78 : 527.31 = 146.47 : x
  2. Step 2: Convert to fraction form
    351.78/527.31 = 146.47/x
  3. Step 3: Cross multiply
    351.78x = 527.31 × 146.47
  4. Step 4: Simplify right side
    351.78x = 77,235.10
  5. Step 5: Solve for x
    x = 77,235.10/351.78
  6. Step 6: Final answer
    x = 219.56

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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.