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Finding the Fourth Proportional to 575.60, 863.39 and 159.14

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Solution

The fourth proportional to 575.60, 863.39 and 159.14 is: 238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.60 : 863.39 = 159.14 : x
  2. Step 2: Convert to fraction form
    575.60/863.39 = 159.14/x
  3. Step 3: Cross multiply
    575.60x = 863.39 × 159.14
  4. Step 4: Simplify right side
    575.60x = 137,397.58
  5. Step 5: Solve for x
    x = 137,397.58/575.60
  6. Step 6: Final answer
    x = 238.70

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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.