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Finding the Fourth Proportional to 298.15, 446.91 and 176.47

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Solution

The fourth proportional to 298.15, 446.91 and 176.47 is: 264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.15 : 446.91 = 176.47 : x
  2. Step 2: Convert to fraction form
    298.15/446.91 = 176.47/x
  3. Step 3: Cross multiply
    298.15x = 446.91 × 176.47
  4. Step 4: Simplify right side
    298.15x = 78,864.43
  5. Step 5: Solve for x
    x = 78,864.43/298.15
  6. Step 6: Final answer
    x = 264.51

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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.