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Finding the Fourth Proportional to 259.41, 357.82 and 159.77

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Solution

The fourth proportional to 259.41, 357.82 and 159.77 is: 220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.41 : 357.82 = 159.77 : x
  2. Step 2: Convert to fraction form
    259.41/357.82 = 159.77/x
  3. Step 3: Cross multiply
    259.41x = 357.82 × 159.77
  4. Step 4: Simplify right side
    259.41x = 57,168.10
  5. Step 5: Solve for x
    x = 57,168.10/259.41
  6. Step 6: Final answer
    x = 220.38

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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.