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Finding the Fourth Proportional to 267.16, 400.88 and 104.86

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Solution

The fourth proportional to 267.16, 400.88 and 104.86 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.16 : 400.88 = 104.86 : x
  2. Step 2: Convert to fraction form
    267.16/400.88 = 104.86/x
  3. Step 3: Cross multiply
    267.16x = 400.88 × 104.86
  4. Step 4: Simplify right side
    267.16x = 42,036.28
  5. Step 5: Solve for x
    x = 42,036.28/267.16
  6. Step 6: Final answer
    x = 157.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.