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Finding the Fourth Proportional to 185.72, 256.24 and 115.77

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Solution

The fourth proportional to 185.72, 256.24 and 115.77 is: 159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.72 : 256.24 = 115.77 : x
  2. Step 2: Convert to fraction form
    185.72/256.24 = 115.77/x
  3. Step 3: Cross multiply
    185.72x = 256.24 × 115.77
  4. Step 4: Simplify right side
    185.72x = 29,666.01
  5. Step 5: Solve for x
    x = 29,666.01/185.72
  6. Step 6: Final answer
    x = 159.74

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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.