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Finding the Fourth Proportional to 267.86, 401.66 and 123.50

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Solution

The fourth proportional to 267.86, 401.66 and 123.50 is: 185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.86 : 401.66 = 123.50 : x
  2. Step 2: Convert to fraction form
    267.86/401.66 = 123.50/x
  3. Step 3: Cross multiply
    267.86x = 401.66 × 123.50
  4. Step 4: Simplify right side
    267.86x = 49,605.01
  5. Step 5: Solve for x
    x = 49,605.01/267.86
  6. Step 6: Final answer
    x = 185.19

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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.