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Finding the Fourth Proportional to 298.32, 447.40 and 136.04

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Solution

The fourth proportional to 298.32, 447.40 and 136.04 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.32 : 447.40 = 136.04 : x
  2. Step 2: Convert to fraction form
    298.32/447.40 = 136.04/x
  3. Step 3: Cross multiply
    298.32x = 447.40 × 136.04
  4. Step 4: Simplify right side
    298.32x = 60,864.30
  5. Step 5: Solve for x
    x = 60,864.30/298.32
  6. Step 6: Final answer
    x = 204.02

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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.