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Finding the Fourth Proportional to 267.50, 401.42 and 105.19

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Solution

The fourth proportional to 267.50, 401.42 and 105.19 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.50 : 401.42 = 105.19 : x
  2. Step 2: Convert to fraction form
    267.50/401.42 = 105.19/x
  3. Step 3: Cross multiply
    267.50x = 401.42 × 105.19
  4. Step 4: Simplify right side
    267.50x = 42,223.84
  5. Step 5: Solve for x
    x = 42,223.84/267.50
  6. Step 6: Final answer
    x = 157.85

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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.