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Finding the Fourth Proportional to 259.23, 357.63 and 159.57

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Solution

The fourth proportional to 259.23, 357.63 and 159.57 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 357.63 = 159.57 : x
  2. Step 2: Convert to fraction form
    259.23/357.63 = 159.57/x
  3. Step 3: Cross multiply
    259.23x = 357.63 × 159.57
  4. Step 4: Simplify right side
    259.23x = 57,067.02
  5. Step 5: Solve for x
    x = 57,067.02/259.23
  6. Step 6: Final answer
    x = 220.14

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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.