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Finding the Fourth Proportional to 351.60, 527.40 and 146.31

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Solution

The fourth proportional to 351.60, 527.40 and 146.31 is: 219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.60 : 527.40 = 146.31 : x
  2. Step 2: Convert to fraction form
    351.60/527.40 = 146.31/x
  3. Step 3: Cross multiply
    351.60x = 527.40 × 146.31
  4. Step 4: Simplify right side
    351.60x = 77,163.89
  5. Step 5: Solve for x
    x = 77,163.89/351.60
  6. Step 6: Final answer
    x = 219.47

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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.