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Finding the Fourth Proportional to 267.10, 398.32 and 253.43

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Solution

The fourth proportional to 267.10, 398.32 and 253.43 is: 377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.10 : 398.32 = 253.43 : x
  2. Step 2: Convert to fraction form
    267.10/398.32 = 253.43/x
  3. Step 3: Cross multiply
    267.10x = 398.32 × 253.43
  4. Step 4: Simplify right side
    267.10x = 100,945.11
  5. Step 5: Solve for x
    x = 100,945.11/267.10
  6. Step 6: Final answer
    x = 377.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.