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Finding the Fourth Proportional to 242.44, 334.60 and 144.20

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Solution

The fourth proportional to 242.44, 334.60 and 144.20 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.44 : 334.60 = 144.20 : x
  2. Step 2: Convert to fraction form
    242.44/334.60 = 144.20/x
  3. Step 3: Cross multiply
    242.44x = 334.60 × 144.20
  4. Step 4: Simplify right side
    242.44x = 48,249.32
  5. Step 5: Solve for x
    x = 48,249.32/242.44
  6. Step 6: Final answer
    x = 199.02

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