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Finding the Fourth Proportional to 298.64, 447.84 and 116.12

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Solution

The fourth proportional to 298.64, 447.84 and 116.12 is: 174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 447.84 = 116.12 : x
  2. Step 2: Convert to fraction form
    298.64/447.84 = 116.12/x
  3. Step 3: Cross multiply
    298.64x = 447.84 × 116.12
  4. Step 4: Simplify right side
    298.64x = 52,003.18
  5. Step 5: Solve for x
    x = 52,003.18/298.64
  6. Step 6: Final answer
    x = 174.13

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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.