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Finding the Fourth Proportional to 177.66, 265.01 and 159.44

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Solution

The fourth proportional to 177.66, 265.01 and 159.44 is: 237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 265.01 = 159.44 : x
  2. Step 2: Convert to fraction form
    177.66/265.01 = 159.44/x
  3. Step 3: Cross multiply
    177.66x = 265.01 × 159.44
  4. Step 4: Simplify right side
    177.66x = 42,251.07
  5. Step 5: Solve for x
    x = 42,251.07/177.66
  6. Step 6: Final answer
    x = 237.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.