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Finding the Fourth Proportional to 267.22, 399.80 and 266.53

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Solution

The fourth proportional to 267.22, 399.80 and 266.53 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.22 : 399.80 = 266.53 : x
  2. Step 2: Convert to fraction form
    267.22/399.80 = 266.53/x
  3. Step 3: Cross multiply
    267.22x = 399.80 × 266.53
  4. Step 4: Simplify right side
    267.22x = 106,558.69
  5. Step 5: Solve for x
    x = 106,558.69/267.22
  6. Step 6: Final answer
    x = 398.77

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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.