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Finding the Fourth Proportional to 202.41, 279.39 and 135.99

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Solution

The fourth proportional to 202.41, 279.39 and 135.99 is: 187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.41 : 279.39 = 135.99 : x
  2. Step 2: Convert to fraction form
    202.41/279.39 = 135.99/x
  3. Step 3: Cross multiply
    202.41x = 279.39 × 135.99
  4. Step 4: Simplify right side
    202.41x = 37,994.25
  5. Step 5: Solve for x
    x = 37,994.25/202.41
  6. Step 6: Final answer
    x = 187.71

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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.