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Finding the Fourth Proportional to 234.95, 354.02 and 195.26

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Solution

The fourth proportional to 234.95, 354.02 and 195.26 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.95 : 354.02 = 195.26 : x
  2. Step 2: Convert to fraction form
    234.95/354.02 = 195.26/x
  3. Step 3: Cross multiply
    234.95x = 354.02 × 195.26
  4. Step 4: Simplify right side
    234.95x = 69,123.20
  5. Step 5: Solve for x
    x = 69,123.20/234.95
  6. Step 6: Final answer
    x = 294.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.