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Finding the Fourth Proportional to 159.39, 219.38 and 147.24

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Solution

The fourth proportional to 159.39, 219.38 and 147.24 is: 202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.39 : 219.38 = 147.24 : x
  2. Step 2: Convert to fraction form
    159.39/219.38 = 147.24/x
  3. Step 3: Cross multiply
    159.39x = 219.38 × 147.24
  4. Step 4: Simplify right side
    159.39x = 32,300.78
  5. Step 5: Solve for x
    x = 32,300.78/159.39
  6. Step 6: Final answer
    x = 202.65

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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.