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Finding the Fourth Proportional to 352.04, 527.86 and 159.48

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Solution

The fourth proportional to 352.04, 527.86 and 159.48 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.04 : 527.86 = 159.48 : x
  2. Step 2: Convert to fraction form
    352.04/527.86 = 159.48/x
  3. Step 3: Cross multiply
    352.04x = 527.86 × 159.48
  4. Step 4: Simplify right side
    352.04x = 84,183.11
  5. Step 5: Solve for x
    x = 84,183.11/352.04
  6. Step 6: Final answer
    x = 239.13

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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.