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Finding the Fourth Proportional to 267.48, 400.91 and 121.34

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Solution

The fourth proportional to 267.48, 400.91 and 121.34 is: 181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 400.91 = 121.34 : x
  2. Step 2: Convert to fraction form
    267.48/400.91 = 121.34/x
  3. Step 3: Cross multiply
    267.48x = 400.91 × 121.34
  4. Step 4: Simplify right side
    267.48x = 48,646.42
  5. Step 5: Solve for x
    x = 48,646.42/267.48
  6. Step 6: Final answer
    x = 181.87

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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.