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Finding the Fourth Proportional to 351.92, 527.54 and 146.63

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Solution

The fourth proportional to 351.92, 527.54 and 146.63 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.92 : 527.54 = 146.63 : x
  2. Step 2: Convert to fraction form
    351.92/527.54 = 146.63/x
  3. Step 3: Cross multiply
    351.92x = 527.54 × 146.63
  4. Step 4: Simplify right side
    351.92x = 77,349.82
  5. Step 5: Solve for x
    x = 77,349.82/351.92
  6. Step 6: Final answer
    x = 219.80

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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.