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Finding the Fourth Proportional to 267.95, 370.10 and 194.15

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Solution

The fourth proportional to 267.95, 370.10 and 194.15 is: 268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.95 : 370.10 = 194.15 : x
  2. Step 2: Convert to fraction form
    267.95/370.10 = 194.15/x
  3. Step 3: Cross multiply
    267.95x = 370.10 × 194.15
  4. Step 4: Simplify right side
    267.95x = 71,856.33
  5. Step 5: Solve for x
    x = 71,856.33/267.95
  6. Step 6: Final answer
    x = 268.17

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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.