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Finding the Fourth Proportional to 136.03, 203.19 and 135.40

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Solution

The fourth proportional to 136.03, 203.19 and 135.40 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.03 : 203.19 = 135.40 : x
  2. Step 2: Convert to fraction form
    136.03/203.19 = 135.40/x
  3. Step 3: Cross multiply
    136.03x = 203.19 × 135.40
  4. Step 4: Simplify right side
    136.03x = 27,511.93
  5. Step 5: Solve for x
    x = 27,511.93/136.03
  6. Step 6: Final answer
    x = 202.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.