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Finding the Fourth Proportional to 242.45, 363.80 and 114.20

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Solution

The fourth proportional to 242.45, 363.80 and 114.20 is: 171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.45 : 363.80 = 114.20 : x
  2. Step 2: Convert to fraction form
    242.45/363.80 = 114.20/x
  3. Step 3: Cross multiply
    242.45x = 363.80 × 114.20
  4. Step 4: Simplify right side
    242.45x = 41,543.57
  5. Step 5: Solve for x
    x = 41,543.57/242.45
  6. Step 6: Final answer
    x = 171.35

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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.