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Finding the Fourth Proportional to 267.15, 400.88 and 175.89

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Solution

The fourth proportional to 267.15, 400.88 and 175.89 is: 263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.15 : 400.88 = 175.89 : x
  2. Step 2: Convert to fraction form
    267.15/400.88 = 175.89/x
  3. Step 3: Cross multiply
    267.15x = 400.88 × 175.89
  4. Step 4: Simplify right side
    267.15x = 70,512.73
  5. Step 5: Solve for x
    x = 70,512.73/267.15
  6. Step 6: Final answer
    x = 263.94

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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.