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Finding the Fourth Proportional to 195.09, 291.10 and 174.66

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Solution

The fourth proportional to 195.09, 291.10 and 174.66 is: 260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.09 : 291.10 = 174.66 : x
  2. Step 2: Convert to fraction form
    195.09/291.10 = 174.66/x
  3. Step 3: Cross multiply
    195.09x = 291.10 × 174.66
  4. Step 4: Simplify right side
    195.09x = 50,843.53
  5. Step 5: Solve for x
    x = 50,843.53/195.09
  6. Step 6: Final answer
    x = 260.62

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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.