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Finding the Fourth Proportional to 199.13, 298.15 and 141.04

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Solution

The fourth proportional to 199.13, 298.15 and 141.04 is: 211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.13 : 298.15 = 141.04 : x
  2. Step 2: Convert to fraction form
    199.13/298.15 = 141.04/x
  3. Step 3: Cross multiply
    199.13x = 298.15 × 141.04
  4. Step 4: Simplify right side
    199.13x = 42,051.10
  5. Step 5: Solve for x
    x = 42,051.10/199.13
  6. Step 6: Final answer
    x = 211.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.