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Finding the Fourth Proportional to 194.40, 267.84 and 177.12

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Solution

The fourth proportional to 194.40, 267.84 and 177.12 is: 244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 267.84 = 177.12 : x
  2. Step 2: Convert to fraction form
    194.40/267.84 = 177.12/x
  3. Step 3: Cross multiply
    194.40x = 267.84 × 177.12
  4. Step 4: Simplify right side
    194.40x = 47,439.82
  5. Step 5: Solve for x
    x = 47,439.82/194.40
  6. Step 6: Final answer
    x = 244.03

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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.