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Finding the Fourth Proportional to 202.98, 279.96 and 137.46

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Solution

The fourth proportional to 202.98, 279.96 and 137.46 is: 189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 279.96 = 137.46 : x
  2. Step 2: Convert to fraction form
    202.98/279.96 = 137.46/x
  3. Step 3: Cross multiply
    202.98x = 279.96 × 137.46
  4. Step 4: Simplify right side
    202.98x = 38,483.30
  5. Step 5: Solve for x
    x = 38,483.30/202.98
  6. Step 6: Final answer
    x = 189.59

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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.