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Finding the Fourth Proportional to 267.32, 400.80 and 105.16

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Solution

The fourth proportional to 267.32, 400.80 and 105.16 is: 157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 400.80 = 105.16 : x
  2. Step 2: Convert to fraction form
    267.32/400.80 = 105.16/x
  3. Step 3: Cross multiply
    267.32x = 400.80 × 105.16
  4. Step 4: Simplify right side
    267.32x = 42,148.13
  5. Step 5: Solve for x
    x = 42,148.13/267.32
  6. Step 6: Final answer
    x = 157.67

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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.