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Finding the Fourth Proportional to 203.52, 305.07 and 135.07

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Solution

The fourth proportional to 203.52, 305.07 and 135.07 is: 202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 305.07 = 135.07 : x
  2. Step 2: Convert to fraction form
    203.52/305.07 = 135.07/x
  3. Step 3: Cross multiply
    203.52x = 305.07 × 135.07
  4. Step 4: Simplify right side
    203.52x = 41,205.80
  5. Step 5: Solve for x
    x = 41,205.80/203.52
  6. Step 6: Final answer
    x = 202.47

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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.