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Finding the Fourth Proportional to 202.26, 278.94 and 136.80

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Solution

The fourth proportional to 202.26, 278.94 and 136.80 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.26 : 278.94 = 136.80 : x
  2. Step 2: Convert to fraction form
    202.26/278.94 = 136.80/x
  3. Step 3: Cross multiply
    202.26x = 278.94 × 136.80
  4. Step 4: Simplify right side
    202.26x = 38,158.99
  5. Step 5: Solve for x
    x = 38,158.99/202.26
  6. Step 6: Final answer
    x = 188.66

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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.