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Finding the Fourth Proportional to 159.76, 240.66 and 158.95

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Solution

The fourth proportional to 159.76, 240.66 and 158.95 is: 239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.76 : 240.66 = 158.95 : x
  2. Step 2: Convert to fraction form
    159.76/240.66 = 158.95/x
  3. Step 3: Cross multiply
    159.76x = 240.66 × 158.95
  4. Step 4: Simplify right side
    159.76x = 38,252.91
  5. Step 5: Solve for x
    x = 38,252.91/159.76
  6. Step 6: Final answer
    x = 239.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.