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Finding the Fourth Proportional to 159.57, 220.32 and 147.15

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Solution

The fourth proportional to 159.57, 220.32 and 147.15 is: 203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 220.32 = 147.15 : x
  2. Step 2: Convert to fraction form
    159.57/220.32 = 147.15/x
  3. Step 3: Cross multiply
    159.57x = 220.32 × 147.15
  4. Step 4: Simplify right side
    159.57x = 32,420.09
  5. Step 5: Solve for x
    x = 32,420.09/159.57
  6. Step 6: Final answer
    x = 203.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.