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Finding the Fourth Proportional to 267.34, 369.08 and 174.18

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Solution

The fourth proportional to 267.34, 369.08 and 174.18 is: 240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.34 : 369.08 = 174.18 : x
  2. Step 2: Convert to fraction form
    267.34/369.08 = 174.18/x
  3. Step 3: Cross multiply
    267.34x = 369.08 × 174.18
  4. Step 4: Simplify right side
    267.34x = 64,286.35
  5. Step 5: Solve for x
    x = 64,286.35/267.34
  6. Step 6: Final answer
    x = 240.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.