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Finding the Fourth Proportional to 203.67, 305.19 and 135.13

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Solution

The fourth proportional to 203.67, 305.19 and 135.13 is: 202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 305.19 = 135.13 : x
  2. Step 2: Convert to fraction form
    203.67/305.19 = 135.13/x
  3. Step 3: Cross multiply
    203.67x = 305.19 × 135.13
  4. Step 4: Simplify right side
    203.67x = 41,240.32
  5. Step 5: Solve for x
    x = 41,240.32/203.67
  6. Step 6: Final answer
    x = 202.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.