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Finding the Fourth Proportional to 305.80, 458.38 and 197.68

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Solution

The fourth proportional to 305.80, 458.38 and 197.68 is: 296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.80 : 458.38 = 197.68 : x
  2. Step 2: Convert to fraction form
    305.80/458.38 = 197.68/x
  3. Step 3: Cross multiply
    305.80x = 458.38 × 197.68
  4. Step 4: Simplify right side
    305.80x = 90,612.56
  5. Step 5: Solve for x
    x = 90,612.56/305.80
  6. Step 6: Final answer
    x = 296.31

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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.