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Finding the Fourth Proportional to 242.72, 365.42 and 179.12

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Solution

The fourth proportional to 242.72, 365.42 and 179.12 is: 269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 365.42 = 179.12 : x
  2. Step 2: Convert to fraction form
    242.72/365.42 = 179.12/x
  3. Step 3: Cross multiply
    242.72x = 365.42 × 179.12
  4. Step 4: Simplify right side
    242.72x = 65,454.03
  5. Step 5: Solve for x
    x = 65,454.03/242.72
  6. Step 6: Final answer
    x = 269.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.