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Finding the Fourth Proportional to 185.96, 256.51 and 146.55

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Solution

The fourth proportional to 185.96, 256.51 and 146.55 is: 202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.96 : 256.51 = 146.55 : x
  2. Step 2: Convert to fraction form
    185.96/256.51 = 146.55/x
  3. Step 3: Cross multiply
    185.96x = 256.51 × 146.55
  4. Step 4: Simplify right side
    185.96x = 37,591.86
  5. Step 5: Solve for x
    x = 37,591.86/185.96
  6. Step 6: Final answer
    x = 202.15

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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.