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Finding the Fourth Proportional to 185.12, 277.52 and 98.54

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Solution

The fourth proportional to 185.12, 277.52 and 98.54 is: 147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.12 : 277.52 = 98.54 : x
  2. Step 2: Convert to fraction form
    185.12/277.52 = 98.54/x
  3. Step 3: Cross multiply
    185.12x = 277.52 × 98.54
  4. Step 4: Simplify right side
    185.12x = 27,346.82
  5. Step 5: Solve for x
    x = 27,346.82/185.12
  6. Step 6: Final answer
    x = 147.72

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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.