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Finding the Fourth Proportional to 291.15, 402.03 and 198.20

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Solution

The fourth proportional to 291.15, 402.03 and 198.20 is: 273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.15 : 402.03 = 198.20 : x
  2. Step 2: Convert to fraction form
    291.15/402.03 = 198.20/x
  3. Step 3: Cross multiply
    291.15x = 402.03 × 198.20
  4. Step 4: Simplify right side
    291.15x = 79,680.34
  5. Step 5: Solve for x
    x = 79,680.34/291.15
  6. Step 6: Final answer
    x = 273.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.