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Finding the Fourth Proportional to 202.12, 279.06 and 143.80

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Solution

The fourth proportional to 202.12, 279.06 and 143.80 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 279.06 = 143.80 : x
  2. Step 2: Convert to fraction form
    202.12/279.06 = 143.80/x
  3. Step 3: Cross multiply
    202.12x = 279.06 × 143.80
  4. Step 4: Simplify right side
    202.12x = 40,128.83
  5. Step 5: Solve for x
    x = 40,128.83/202.12
  6. Step 6: Final answer
    x = 198.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.