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Finding the Fourth Proportional to 242.06, 363.18 and 160.70

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Solution

The fourth proportional to 242.06, 363.18 and 160.70 is: 241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.06 : 363.18 = 160.70 : x
  2. Step 2: Convert to fraction form
    242.06/363.18 = 160.70/x
  3. Step 3: Cross multiply
    242.06x = 363.18 × 160.70
  4. Step 4: Simplify right side
    242.06x = 58,363.03
  5. Step 5: Solve for x
    x = 58,363.03/242.06
  6. Step 6: Final answer
    x = 241.11

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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.