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Finding the Fourth Proportional to 298.10, 447.10 and 135.78

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Solution

The fourth proportional to 298.10, 447.10 and 135.78 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 447.10 = 135.78 : x
  2. Step 2: Convert to fraction form
    298.10/447.10 = 135.78/x
  3. Step 3: Cross multiply
    298.10x = 447.10 × 135.78
  4. Step 4: Simplify right side
    298.10x = 60,707.24
  5. Step 5: Solve for x
    x = 60,707.24/298.10
  6. Step 6: Final answer
    x = 203.65

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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.