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Finding the Fourth Proportional to 639.88, 959.82 and 177.71

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Solution

The fourth proportional to 639.88, 959.82 and 177.71 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.88 : 959.82 = 177.71 : x
  2. Step 2: Convert to fraction form
    639.88/959.82 = 177.71/x
  3. Step 3: Cross multiply
    639.88x = 959.82 × 177.71
  4. Step 4: Simplify right side
    639.88x = 170,569.61
  5. Step 5: Solve for x
    x = 170,569.61/639.88
  6. Step 6: Final answer
    x = 266.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.