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Finding the Fourth Proportional to 298.29, 411.72 and 178.74

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Solution

The fourth proportional to 298.29, 411.72 and 178.74 is: 246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.29 : 411.72 = 178.74 : x
  2. Step 2: Convert to fraction form
    298.29/411.72 = 178.74/x
  3. Step 3: Cross multiply
    298.29x = 411.72 × 178.74
  4. Step 4: Simplify right side
    298.29x = 73,590.83
  5. Step 5: Solve for x
    x = 73,590.83/298.29
  6. Step 6: Final answer
    x = 246.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.