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Finding the Fourth Proportional to 185.62, 256.16 and 102.72

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Solution

The fourth proportional to 185.62, 256.16 and 102.72 is: 141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.62 : 256.16 = 102.72 : x
  2. Step 2: Convert to fraction form
    185.62/256.16 = 102.72/x
  3. Step 3: Cross multiply
    185.62x = 256.16 × 102.72
  4. Step 4: Simplify right side
    185.62x = 26,312.96
  5. Step 5: Solve for x
    x = 26,312.96/185.62
  6. Step 6: Final answer
    x = 141.76

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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.