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Finding the Fourth Proportional to 267.06, 399.78 and 194.70

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Solution

The fourth proportional to 267.06, 399.78 and 194.70 is: 291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 399.78 = 194.70 : x
  2. Step 2: Convert to fraction form
    267.06/399.78 = 194.70/x
  3. Step 3: Cross multiply
    267.06x = 399.78 × 194.70
  4. Step 4: Simplify right side
    267.06x = 77,837.17
  5. Step 5: Solve for x
    x = 77,837.17/267.06
  6. Step 6: Final answer
    x = 291.46

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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.