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Finding the Fourth Proportional to 194.31, 291.57 and 117.42

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Solution

The fourth proportional to 194.31, 291.57 and 117.42 is: 176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.31 : 291.57 = 117.42 : x
  2. Step 2: Convert to fraction form
    194.31/291.57 = 117.42/x
  3. Step 3: Cross multiply
    194.31x = 291.57 × 117.42
  4. Step 4: Simplify right side
    194.31x = 34,236.15
  5. Step 5: Solve for x
    x = 34,236.15/194.31
  6. Step 6: Final answer
    x = 176.19

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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.