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Finding the Fourth Proportional to 180.53, 270.81 and 99.43

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Solution

The fourth proportional to 180.53, 270.81 and 99.43 is: 149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 270.81 = 99.43 : x
  2. Step 2: Convert to fraction form
    180.53/270.81 = 99.43/x
  3. Step 3: Cross multiply
    180.53x = 270.81 × 99.43
  4. Step 4: Simplify right side
    180.53x = 26,925.96
  5. Step 5: Solve for x
    x = 26,925.96/180.53
  6. Step 6: Final answer
    x = 149.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.