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Finding the Fourth Proportional to 305.92, 459.28 and 159.78

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Solution

The fourth proportional to 305.92, 459.28 and 159.78 is: 239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 459.28 = 159.78 : x
  2. Step 2: Convert to fraction form
    305.92/459.28 = 159.78/x
  3. Step 3: Cross multiply
    305.92x = 459.28 × 159.78
  4. Step 4: Simplify right side
    305.92x = 73,383.76
  5. Step 5: Solve for x
    x = 73,383.76/305.92
  6. Step 6: Final answer
    x = 239.88

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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.