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Finding the Fourth Proportional to 309.25, 463.61 and 126.53

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Solution

The fourth proportional to 309.25, 463.61 and 126.53 is: 189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 463.61 = 126.53 : x
  2. Step 2: Convert to fraction form
    309.25/463.61 = 126.53/x
  3. Step 3: Cross multiply
    309.25x = 463.61 × 126.53
  4. Step 4: Simplify right side
    309.25x = 58,660.31
  5. Step 5: Solve for x
    x = 58,660.31/309.25
  6. Step 6: Final answer
    x = 189.68

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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.