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Finding the Fourth Proportional to 202.13, 301.96 and 143.88

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Solution

The fourth proportional to 202.13, 301.96 and 143.88 is: 214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 301.96 = 143.88 : x
  2. Step 2: Convert to fraction form
    202.13/301.96 = 143.88/x
  3. Step 3: Cross multiply
    202.13x = 301.96 × 143.88
  4. Step 4: Simplify right side
    202.13x = 43,445.05
  5. Step 5: Solve for x
    x = 43,445.05/202.13
  6. Step 6: Final answer
    x = 214.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.