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Finding the Fourth Proportional to 194.06, 291.12 and 96.57

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Solution

The fourth proportional to 194.06, 291.12 and 96.57 is: 144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.06 : 291.12 = 96.57 : x
  2. Step 2: Convert to fraction form
    194.06/291.12 = 96.57/x
  3. Step 3: Cross multiply
    194.06x = 291.12 × 96.57
  4. Step 4: Simplify right side
    194.06x = 28,113.46
  5. Step 5: Solve for x
    x = 28,113.46/194.06
  6. Step 6: Final answer
    x = 144.87

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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.