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Finding the Fourth Proportional to 267.83, 369.65 and 157.40

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Solution

The fourth proportional to 267.83, 369.65 and 157.40 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.83 : 369.65 = 157.40 : x
  2. Step 2: Convert to fraction form
    267.83/369.65 = 157.40/x
  3. Step 3: Cross multiply
    267.83x = 369.65 × 157.40
  4. Step 4: Simplify right side
    267.83x = 58,182.91
  5. Step 5: Solve for x
    x = 58,182.91/267.83
  6. Step 6: Final answer
    x = 217.24

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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.