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Finding the Fourth Proportional to 195.60, 293.53 and 169.89

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Solution

The fourth proportional to 195.60, 293.53 and 169.89 is: 254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 293.53 = 169.89 : x
  2. Step 2: Convert to fraction form
    195.60/293.53 = 169.89/x
  3. Step 3: Cross multiply
    195.60x = 293.53 × 169.89
  4. Step 4: Simplify right side
    195.60x = 49,867.81
  5. Step 5: Solve for x
    x = 49,867.81/195.60
  6. Step 6: Final answer
    x = 254.95

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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.