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Finding the Fourth Proportional to 267.57, 401.59 and 186.47

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Solution

The fourth proportional to 267.57, 401.59 and 186.47 is: 279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 401.59 = 186.47 : x
  2. Step 2: Convert to fraction form
    267.57/401.59 = 186.47/x
  3. Step 3: Cross multiply
    267.57x = 401.59 × 186.47
  4. Step 4: Simplify right side
    267.57x = 74,884.22
  5. Step 5: Solve for x
    x = 74,884.22/267.57
  6. Step 6: Final answer
    x = 279.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.