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Finding the Fourth Proportional to 267.48, 401.28 and 145.86

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Solution

The fourth proportional to 267.48, 401.28 and 145.86 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 401.28 = 145.86 : x
  2. Step 2: Convert to fraction form
    267.48/401.28 = 145.86/x
  3. Step 3: Cross multiply
    267.48x = 401.28 × 145.86
  4. Step 4: Simplify right side
    267.48x = 58,530.70
  5. Step 5: Solve for x
    x = 58,530.70/267.48
  6. Step 6: Final answer
    x = 218.82

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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.