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Finding the Fourth Proportional to 202.24, 302.94 and 99.61

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Solution

The fourth proportional to 202.24, 302.94 and 99.61 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 302.94 = 99.61 : x
  2. Step 2: Convert to fraction form
    202.24/302.94 = 99.61/x
  3. Step 3: Cross multiply
    202.24x = 302.94 × 99.61
  4. Step 4: Simplify right side
    202.24x = 30,175.85
  5. Step 5: Solve for x
    x = 30,175.85/202.24
  6. Step 6: Final answer
    x = 149.21

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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.