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Finding the Fourth Proportional to 309.80, 463.78 and 187.69

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Solution

The fourth proportional to 309.80, 463.78 and 187.69 is: 280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 463.78 = 187.69 : x
  2. Step 2: Convert to fraction form
    309.80/463.78 = 187.69/x
  3. Step 3: Cross multiply
    309.80x = 463.78 × 187.69
  4. Step 4: Simplify right side
    309.80x = 87,046.87
  5. Step 5: Solve for x
    x = 87,046.87/309.80
  6. Step 6: Final answer
    x = 280.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.