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Finding the Fourth Proportional to 242.18, 333.96 and 159.30

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Solution

The fourth proportional to 242.18, 333.96 and 159.30 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.18 : 333.96 = 159.30 : x
  2. Step 2: Convert to fraction form
    242.18/333.96 = 159.30/x
  3. Step 3: Cross multiply
    242.18x = 333.96 × 159.30
  4. Step 4: Simplify right side
    242.18x = 53,199.83
  5. Step 5: Solve for x
    x = 53,199.83/242.18
  6. Step 6: Final answer
    x = 219.67

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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.