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Finding the Fourth Proportional to 204, 307.42 and 170.52

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Solution

The fourth proportional to 204, 307.42 and 170.52 is: 256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 307.42 = 170.52 : x
  2. Step 2: Convert to fraction form
    204/307.42 = 170.52/x
  3. Step 3: Cross multiply
    204x = 307.42 × 170.52
  4. Step 4: Simplify right side
    204x = 52,421.26
  5. Step 5: Solve for x
    x = 52,421.26/204
  6. Step 6: Final answer
    x = 256.97

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