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Finding the Fourth Proportional to 194.96, 292.48 and 97.47

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Solution

The fourth proportional to 194.96, 292.48 and 97.47 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.96 : 292.48 = 97.47 : x
  2. Step 2: Convert to fraction form
    194.96/292.48 = 97.47/x
  3. Step 3: Cross multiply
    194.96x = 292.48 × 97.47
  4. Step 4: Simplify right side
    194.96x = 28,506.08
  5. Step 5: Solve for x
    x = 28,506.08/194.96
  6. Step 6: Final answer
    x = 146.21

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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.