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Finding the Fourth Proportional to 267.71, 401.45 and 186.59

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Solution

The fourth proportional to 267.71, 401.45 and 186.59 is: 279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.71 : 401.45 = 186.59 : x
  2. Step 2: Convert to fraction form
    267.71/401.45 = 186.59/x
  3. Step 3: Cross multiply
    267.71x = 401.45 × 186.59
  4. Step 4: Simplify right side
    267.71x = 74,905.62
  5. Step 5: Solve for x
    x = 74,905.62/267.71
  6. Step 6: Final answer
    x = 279.80

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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.