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Finding the Fourth Proportional to 298.41, 446.86 and 176.76

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Solution

The fourth proportional to 298.41, 446.86 and 176.76 is: 264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.41 : 446.86 = 176.76 : x
  2. Step 2: Convert to fraction form
    298.41/446.86 = 176.76/x
  3. Step 3: Cross multiply
    298.41x = 446.86 × 176.76
  4. Step 4: Simplify right side
    298.41x = 78,987.21
  5. Step 5: Solve for x
    x = 78,987.21/298.41
  6. Step 6: Final answer
    x = 264.69

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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.