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Finding the Fourth Proportional to 298.35, 446.72 and 176.38

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Solution

The fourth proportional to 298.35, 446.72 and 176.38 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 446.72 = 176.38 : x
  2. Step 2: Convert to fraction form
    298.35/446.72 = 176.38/x
  3. Step 3: Cross multiply
    298.35x = 446.72 × 176.38
  4. Step 4: Simplify right side
    298.35x = 78,790.47
  5. Step 5: Solve for x
    x = 78,790.47/298.35
  6. Step 6: Final answer
    x = 264.09

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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.