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Finding the Fourth Proportional to 180.57, 270.85 and 99.93

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Solution

The fourth proportional to 180.57, 270.85 and 99.93 is: 149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.57 : 270.85 = 99.93 : x
  2. Step 2: Convert to fraction form
    180.57/270.85 = 99.93/x
  3. Step 3: Cross multiply
    180.57x = 270.85 × 99.93
  4. Step 4: Simplify right side
    180.57x = 27,066.04
  5. Step 5: Solve for x
    x = 27,066.04/180.57
  6. Step 6: Final answer
    x = 149.89

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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.