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Finding the Fourth Proportional to 202.45, 278.98 and 132.43

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Solution

The fourth proportional to 202.45, 278.98 and 132.43 is: 182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.45 : 278.98 = 132.43 : x
  2. Step 2: Convert to fraction form
    202.45/278.98 = 132.43/x
  3. Step 3: Cross multiply
    202.45x = 278.98 × 132.43
  4. Step 4: Simplify right side
    202.45x = 36,945.32
  5. Step 5: Solve for x
    x = 36,945.32/202.45
  6. Step 6: Final answer
    x = 182.49

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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.