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Finding the Fourth Proportional to 298.59, 447.89 and 135.78

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Solution

The fourth proportional to 298.59, 447.89 and 135.78 is: 203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 447.89 = 135.78 : x
  2. Step 2: Convert to fraction form
    298.59/447.89 = 135.78/x
  3. Step 3: Cross multiply
    298.59x = 447.89 × 135.78
  4. Step 4: Simplify right side
    298.59x = 60,814.50
  5. Step 5: Solve for x
    x = 60,814.50/298.59
  6. Step 6: Final answer
    x = 203.67

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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.