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Finding the Fourth Proportional to 195.22, 291.18 and 169.34

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Solution

The fourth proportional to 195.22, 291.18 and 169.34 is: 252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.22 : 291.18 = 169.34 : x
  2. Step 2: Convert to fraction form
    195.22/291.18 = 169.34/x
  3. Step 3: Cross multiply
    195.22x = 291.18 × 169.34
  4. Step 4: Simplify right side
    195.22x = 49,307.30
  5. Step 5: Solve for x
    x = 49,307.30/195.22
  6. Step 6: Final answer
    x = 252.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.