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Finding the Fourth Proportional to 259.86, 358.59 and 161.61

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Solution

The fourth proportional to 259.86, 358.59 and 161.61 is: 223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 358.59 = 161.61 : x
  2. Step 2: Convert to fraction form
    259.86/358.59 = 161.61/x
  3. Step 3: Cross multiply
    259.86x = 358.59 × 161.61
  4. Step 4: Simplify right side
    259.86x = 57,953.68
  5. Step 5: Solve for x
    x = 57,953.68/259.86
  6. Step 6: Final answer
    x = 223.02

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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.