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Finding the Fourth Proportional to 185.52, 256.05 and 107.91

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Solution

The fourth proportional to 185.52, 256.05 and 107.91 is: 148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 256.05 = 107.91 : x
  2. Step 2: Convert to fraction form
    185.52/256.05 = 107.91/x
  3. Step 3: Cross multiply
    185.52x = 256.05 × 107.91
  4. Step 4: Simplify right side
    185.52x = 27,630.36
  5. Step 5: Solve for x
    x = 27,630.36/185.52
  6. Step 6: Final answer
    x = 148.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.