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Finding the Fourth Proportional to 298.70, 447.87 and 136.52

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Solution

The fourth proportional to 298.70, 447.87 and 136.52 is: 204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.70 : 447.87 = 136.52 : x
  2. Step 2: Convert to fraction form
    298.70/447.87 = 136.52/x
  3. Step 3: Cross multiply
    298.70x = 447.87 × 136.52
  4. Step 4: Simplify right side
    298.70x = 61,143.21
  5. Step 5: Solve for x
    x = 61,143.21/298.70
  6. Step 6: Final answer
    x = 204.70

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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.