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Finding the Fourth Proportional to 270.54, 405.82 and 87.88

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Solution

The fourth proportional to 270.54, 405.82 and 87.88 is: 131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.54 : 405.82 = 87.88 : x
  2. Step 2: Convert to fraction form
    270.54/405.82 = 87.88/x
  3. Step 3: Cross multiply
    270.54x = 405.82 × 87.88
  4. Step 4: Simplify right side
    270.54x = 35,663.46
  5. Step 5: Solve for x
    x = 35,663.46/270.54
  6. Step 6: Final answer
    x = 131.82

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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.