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Finding the Fourth Proportional to 203.36, 306.59 and 171.52

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Solution

The fourth proportional to 203.36, 306.59 and 171.52 is: 258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.36 : 306.59 = 171.52 : x
  2. Step 2: Convert to fraction form
    203.36/306.59 = 171.52/x
  3. Step 3: Cross multiply
    203.36x = 306.59 × 171.52
  4. Step 4: Simplify right side
    203.36x = 52,586.32
  5. Step 5: Solve for x
    x = 52,586.32/203.36
  6. Step 6: Final answer
    x = 258.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.