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Finding the Fourth Proportional to 267.88, 369.55 and 157.30

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Solution

The fourth proportional to 267.88, 369.55 and 157.30 is: 217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.88 : 369.55 = 157.30 : x
  2. Step 2: Convert to fraction form
    267.88/369.55 = 157.30/x
  3. Step 3: Cross multiply
    267.88x = 369.55 × 157.30
  4. Step 4: Simplify right side
    267.88x = 58,129.43
  5. Step 5: Solve for x
    x = 58,129.43/267.88
  6. Step 6: Final answer
    x = 217.00

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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.