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Finding the Fourth Proportional to 270.45, 405.66 and 87.89

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Solution

The fourth proportional to 270.45, 405.66 and 87.89 is: 131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.45 : 405.66 = 87.89 : x
  2. Step 2: Convert to fraction form
    270.45/405.66 = 87.89/x
  3. Step 3: Cross multiply
    270.45x = 405.66 × 87.89
  4. Step 4: Simplify right side
    270.45x = 35,651.43
  5. Step 5: Solve for x
    x = 35,651.43/270.45
  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.