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Finding the Fourth Proportional to 198.65, 298.43 and 141.01

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Solution

The fourth proportional to 198.65, 298.43 and 141.01 is: 211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 298.43 = 141.01 : x
  2. Step 2: Convert to fraction form
    198.65/298.43 = 141.01/x
  3. Step 3: Cross multiply
    198.65x = 298.43 × 141.01
  4. Step 4: Simplify right side
    198.65x = 42,080.16
  5. Step 5: Solve for x
    x = 42,080.16/198.65
  6. Step 6: Final answer
    x = 211.84

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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.