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Finding the Fourth Proportional to 270.10, 404.97 and 87.55

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Solution

The fourth proportional to 270.10, 404.97 and 87.55 is: 131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.10 : 404.97 = 87.55 : x
  2. Step 2: Convert to fraction form
    270.10/404.97 = 87.55/x
  3. Step 3: Cross multiply
    270.10x = 404.97 × 87.55
  4. Step 4: Simplify right side
    270.10x = 35,453.78
  5. Step 5: Solve for x
    x = 35,453.78/270.10
  6. Step 6: Final answer
    x = 131.26

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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.