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Finding the Fourth Proportional to 305.93, 458.82 and 149.78

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Solution

The fourth proportional to 305.93, 458.82 and 149.78 is: 224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.93 : 458.82 = 149.78 : x
  2. Step 2: Convert to fraction form
    305.93/458.82 = 149.78/x
  3. Step 3: Cross multiply
    305.93x = 458.82 × 149.78
  4. Step 4: Simplify right side
    305.93x = 68,719.77
  5. Step 5: Solve for x
    x = 68,719.77/305.93
  6. Step 6: Final answer
    x = 224.63

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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.