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Finding the Fourth Proportional to 242.50, 363.77 and 96.24

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Solution

The fourth proportional to 242.50, 363.77 and 96.24 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.50 : 363.77 = 96.24 : x
  2. Step 2: Convert to fraction form
    242.50/363.77 = 96.24/x
  3. Step 3: Cross multiply
    242.50x = 363.77 × 96.24
  4. Step 4: Simplify right side
    242.50x = 35,009.22
  5. Step 5: Solve for x
    x = 35,009.22/242.50
  6. Step 6: Final answer
    x = 144.37

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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.