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Finding the Fourth Proportional to 242.40, 363.42 and 181.20

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Solution

The fourth proportional to 242.40, 363.42 and 181.20 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 363.42 = 181.20 : x
  2. Step 2: Convert to fraction form
    242.40/363.42 = 181.20/x
  3. Step 3: Cross multiply
    242.40x = 363.42 × 181.20
  4. Step 4: Simplify right side
    242.40x = 65,851.70
  5. Step 5: Solve for x
    x = 65,851.70/242.40
  6. Step 6: Final answer
    x = 271.67

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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.