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Finding the Fourth Proportional to 267.59, 400.77 and 123

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Solution

The fourth proportional to 267.59, 400.77 and 123 is: 184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.59 : 400.77 = 123 : x
  2. Step 2: Convert to fraction form
    267.59/400.77 = 123/x
  3. Step 3: Cross multiply
    267.59x = 400.77 × 123
  4. Step 4: Simplify right side
    267.59x = 49,294.71
  5. Step 5: Solve for x
    x = 49,294.71/267.59
  6. Step 6: Final answer
    x = 184.22

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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.