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Finding the Fourth Proportional to 259.86, 358.66 and 166.59

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Solution

The fourth proportional to 259.86, 358.66 and 166.59 is: 229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 358.66 = 166.59 : x
  2. Step 2: Convert to fraction form
    259.86/358.66 = 166.59/x
  3. Step 3: Cross multiply
    259.86x = 358.66 × 166.59
  4. Step 4: Simplify right side
    259.86x = 59,749.17
  5. Step 5: Solve for x
    x = 59,749.17/259.86
  6. Step 6: Final answer
    x = 229.93

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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.