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Finding the Fourth Proportional to 267.32, 401.31 and 175.70

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Solution

The fourth proportional to 267.32, 401.31 and 175.70 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 401.31 = 175.70 : x
  2. Step 2: Convert to fraction form
    267.32/401.31 = 175.70/x
  3. Step 3: Cross multiply
    267.32x = 401.31 × 175.70
  4. Step 4: Simplify right side
    267.32x = 70,510.17
  5. Step 5: Solve for x
    x = 70,510.17/267.32
  6. Step 6: Final answer
    x = 263.77

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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.