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Finding the Fourth Proportional to 178.62, 266.13 and 159.45

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Solution

The fourth proportional to 178.62, 266.13 and 159.45 is: 237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.62 : 266.13 = 159.45 : x
  2. Step 2: Convert to fraction form
    178.62/266.13 = 159.45/x
  3. Step 3: Cross multiply
    178.62x = 266.13 × 159.45
  4. Step 4: Simplify right side
    178.62x = 42,434.43
  5. Step 5: Solve for x
    x = 42,434.43/178.62
  6. Step 6: Final answer
    x = 237.57

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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.