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Finding the Fourth Proportional to 203.89, 305.60 and 117.29

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Solution

The fourth proportional to 203.89, 305.60 and 117.29 is: 175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.89 : 305.60 = 117.29 : x
  2. Step 2: Convert to fraction form
    203.89/305.60 = 117.29/x
  3. Step 3: Cross multiply
    203.89x = 305.60 × 117.29
  4. Step 4: Simplify right side
    203.89x = 35,842.61
  5. Step 5: Solve for x
    x = 35,842.61/203.89
  6. Step 6: Final answer
    x = 175.79

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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.