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Finding the Fourth Proportional to 194.34, 291.40 and 86.16

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Solution

The fourth proportional to 194.34, 291.40 and 86.16 is: 129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.34 : 291.40 = 86.16 : x
  2. Step 2: Convert to fraction form
    194.34/291.40 = 86.16/x
  3. Step 3: Cross multiply
    194.34x = 291.40 × 86.16
  4. Step 4: Simplify right side
    194.34x = 25,107.02
  5. Step 5: Solve for x
    x = 25,107.02/194.34
  6. Step 6: Final answer
    x = 129.19

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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.