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Finding the Fourth Proportional to 267.33, 400.45 and 123.15

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Solution

The fourth proportional to 267.33, 400.45 and 123.15 is: 184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.33 : 400.45 = 123.15 : x
  2. Step 2: Convert to fraction form
    267.33/400.45 = 123.15/x
  3. Step 3: Cross multiply
    267.33x = 400.45 × 123.15
  4. Step 4: Simplify right side
    267.33x = 49,315.42
  5. Step 5: Solve for x
    x = 49,315.42/267.33
  6. Step 6: Final answer
    x = 184.47

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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.