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Finding the Fourth Proportional to 259.57, 358.25 and 166.29

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Solution

The fourth proportional to 259.57, 358.25 and 166.29 is: 229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.57 : 358.25 = 166.29 : x
  2. Step 2: Convert to fraction form
    259.57/358.25 = 166.29/x
  3. Step 3: Cross multiply
    259.57x = 358.25 × 166.29
  4. Step 4: Simplify right side
    259.57x = 59,573.39
  5. Step 5: Solve for x
    x = 59,573.39/259.57
  6. Step 6: Final answer
    x = 229.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.