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Finding the Fourth Proportional to 242.74, 363.87 and 105.67

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Solution

The fourth proportional to 242.74, 363.87 and 105.67 is: 158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.74 : 363.87 = 105.67 : x
  2. Step 2: Convert to fraction form
    242.74/363.87 = 105.67/x
  3. Step 3: Cross multiply
    242.74x = 363.87 × 105.67
  4. Step 4: Simplify right side
    242.74x = 38,450.14
  5. Step 5: Solve for x
    x = 38,450.14/242.74
  6. Step 6: Final answer
    x = 158.40

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Why These Related Problems?

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