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Finding the Fourth Proportional to 298.30, 446.41 and 176.64

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Solution

The fourth proportional to 298.30, 446.41 and 176.64 is: 264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.30 : 446.41 = 176.64 : x
  2. Step 2: Convert to fraction form
    298.30/446.41 = 176.64/x
  3. Step 3: Cross multiply
    298.30x = 446.41 × 176.64
  4. Step 4: Simplify right side
    298.30x = 78,853.86
  5. Step 5: Solve for x
    x = 78,853.86/298.30
  6. Step 6: Final answer
    x = 264.34

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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.