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Finding the Fourth Proportional to 267.53, 400.85 and 209.52

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Solution

The fourth proportional to 267.53, 400.85 and 209.52 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.53 : 400.85 = 209.52 : x
  2. Step 2: Convert to fraction form
    267.53/400.85 = 209.52/x
  3. Step 3: Cross multiply
    267.53x = 400.85 × 209.52
  4. Step 4: Simplify right side
    267.53x = 83,986.09
  5. Step 5: Solve for x
    x = 83,986.09/267.53
  6. Step 6: Final answer
    x = 313.93

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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.