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Finding the Fourth Proportional to 267.95, 401.88 and 75.57

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Solution

The fourth proportional to 267.95, 401.88 and 75.57 is: 113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.95 : 401.88 = 75.57 : x
  2. Step 2: Convert to fraction form
    267.95/401.88 = 75.57/x
  3. Step 3: Cross multiply
    267.95x = 401.88 × 75.57
  4. Step 4: Simplify right side
    267.95x = 30,370.07
  5. Step 5: Solve for x
    x = 30,370.07/267.95
  6. Step 6: Final answer
    x = 113.34

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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.