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Finding the Fourth Proportional to 267.42, 369.15 and 156.87

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Solution

The fourth proportional to 267.42, 369.15 and 156.87 is: 216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 369.15 = 156.87 : x
  2. Step 2: Convert to fraction form
    267.42/369.15 = 156.87/x
  3. Step 3: Cross multiply
    267.42x = 369.15 × 156.87
  4. Step 4: Simplify right side
    267.42x = 57,908.56
  5. Step 5: Solve for x
    x = 57,908.56/267.42
  6. Step 6: Final answer
    x = 216.55

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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.