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Finding the Fourth Proportional to 159.57, 219.65 and 159.17

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Solution

The fourth proportional to 159.57, 219.65 and 159.17 is: 219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 219.65 = 159.17 : x
  2. Step 2: Convert to fraction form
    159.57/219.65 = 159.17/x
  3. Step 3: Cross multiply
    159.57x = 219.65 × 159.17
  4. Step 4: Simplify right side
    159.57x = 34,959.80
  5. Step 5: Solve for x
    x = 34,959.80/159.57
  6. Step 6: Final answer
    x = 219.09

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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.