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Finding the Fourth Proportional to 267.76, 369.48 and 157.18

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Solution

The fourth proportional to 267.76, 369.48 and 157.18 is: 216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.76 : 369.48 = 157.18 : x
  2. Step 2: Convert to fraction form
    267.76/369.48 = 157.18/x
  3. Step 3: Cross multiply
    267.76x = 369.48 × 157.18
  4. Step 4: Simplify right side
    267.76x = 58,074.87
  5. Step 5: Solve for x
    x = 58,074.87/267.76
  6. Step 6: Final answer
    x = 216.89

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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.