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Finding the Fourth Proportional to 194.58, 267.96 and 159.74

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Solution

The fourth proportional to 194.58, 267.96 and 159.74 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 267.96 = 159.74 : x
  2. Step 2: Convert to fraction form
    194.58/267.96 = 159.74/x
  3. Step 3: Cross multiply
    194.58x = 267.96 × 159.74
  4. Step 4: Simplify right side
    194.58x = 42,802.59
  5. Step 5: Solve for x
    x = 42,802.59/194.58
  6. Step 6: Final answer
    x = 219.97

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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.