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Finding the Fourth Proportional to 259.65, 357.99 and 166.23

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Solution

The fourth proportional to 259.65, 357.99 and 166.23 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.65 : 357.99 = 166.23 : x
  2. Step 2: Convert to fraction form
    259.65/357.99 = 166.23/x
  3. Step 3: Cross multiply
    259.65x = 357.99 × 166.23
  4. Step 4: Simplify right side
    259.65x = 59,509.09
  5. Step 5: Solve for x
    x = 59,509.09/259.65
  6. Step 6: Final answer
    x = 229.19

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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.