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Finding the Fourth Proportional to 185.42, 277.68 and 89

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Solution

The fourth proportional to 185.42, 277.68 and 89 is: 133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 277.68 = 89 : x
  2. Step 2: Convert to fraction form
    185.42/277.68 = 89/x
  3. Step 3: Cross multiply
    185.42x = 277.68 × 89
  4. Step 4: Simplify right side
    185.42x = 24,713.52
  5. Step 5: Solve for x
    x = 24,713.52/185.42
  6. Step 6: Final answer
    x = 133.28

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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.