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Finding the Fourth Proportional to 259.86, 358.56 and 161.56

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Solution

The fourth proportional to 259.86, 358.56 and 161.56 is: 222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 358.56 = 161.56 : x
  2. Step 2: Convert to fraction form
    259.86/358.56 = 161.56/x
  3. Step 3: Cross multiply
    259.86x = 358.56 × 161.56
  4. Step 4: Simplify right side
    259.86x = 57,928.95
  5. Step 5: Solve for x
    x = 57,928.95/259.86
  6. Step 6: Final answer
    x = 222.92

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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.