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Finding the Fourth Proportional to 305.92, 459.06 and 161.68

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Solution

The fourth proportional to 305.92, 459.06 and 161.68 is: 242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 459.06 = 161.68 : x
  2. Step 2: Convert to fraction form
    305.92/459.06 = 161.68/x
  3. Step 3: Cross multiply
    305.92x = 459.06 × 161.68
  4. Step 4: Simplify right side
    305.92x = 74,220.82
  5. Step 5: Solve for x
    x = 74,220.82/305.92
  6. Step 6: Final answer
    x = 242.62

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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.