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Finding the Fourth Proportional to 185.84, 256.38 and 130.56

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Solution

The fourth proportional to 185.84, 256.38 and 130.56 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 256.38 = 130.56 : x
  2. Step 2: Convert to fraction form
    185.84/256.38 = 130.56/x
  3. Step 3: Cross multiply
    185.84x = 256.38 × 130.56
  4. Step 4: Simplify right side
    185.84x = 33,472.97
  5. Step 5: Solve for x
    x = 33,472.97/185.84
  6. Step 6: Final answer
    x = 180.12

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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.