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Finding the Fourth Proportional to 267.71, 401.51 and 175.42

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Solution

The fourth proportional to 267.71, 401.51 and 175.42 is: 263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.71 : 401.51 = 175.42 : x
  2. Step 2: Convert to fraction form
    267.71/401.51 = 175.42/x
  3. Step 3: Cross multiply
    267.71x = 401.51 × 175.42
  4. Step 4: Simplify right side
    267.71x = 70,430.58
  5. Step 5: Solve for x
    x = 70,430.58/267.71
  6. Step 6: Final answer
    x = 263.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.