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Finding the Fourth Proportional to 203.24, 304.17 and 170.77

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Solution

The fourth proportional to 203.24, 304.17 and 170.77 is: 255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.24 : 304.17 = 170.77 : x
  2. Step 2: Convert to fraction form
    203.24/304.17 = 170.77/x
  3. Step 3: Cross multiply
    203.24x = 304.17 × 170.77
  4. Step 4: Simplify right side
    203.24x = 51,942.26
  5. Step 5: Solve for x
    x = 51,942.26/203.24
  6. Step 6: Final answer
    x = 255.58

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