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Finding the Fourth Proportional to 259.28, 357.77 and 166.10

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Solution

The fourth proportional to 259.28, 357.77 and 166.10 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.28 : 357.77 = 166.10 : x
  2. Step 2: Convert to fraction form
    259.28/357.77 = 166.10/x
  3. Step 3: Cross multiply
    259.28x = 357.77 × 166.10
  4. Step 4: Simplify right side
    259.28x = 59,424.22
  5. Step 5: Solve for x
    x = 59,424.22/259.28
  6. Step 6: Final answer
    x = 229.19

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Why These Related Problems?

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