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Finding the Fourth Proportional to 309.47, 463.49 and 154.92

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Solution

The fourth proportional to 309.47, 463.49 and 154.92 is: 232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.47 : 463.49 = 154.92 : x
  2. Step 2: Convert to fraction form
    309.47/463.49 = 154.92/x
  3. Step 3: Cross multiply
    309.47x = 463.49 × 154.92
  4. Step 4: Simplify right side
    309.47x = 71,803.87
  5. Step 5: Solve for x
    x = 71,803.87/309.47
  6. Step 6: Final answer
    x = 232.02

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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.