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Finding the Fourth Proportional to 259.74, 358.20 and 166.50

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Solution

The fourth proportional to 259.74, 358.20 and 166.50 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.74 : 358.20 = 166.50 : x
  2. Step 2: Convert to fraction form
    259.74/358.20 = 166.50/x
  3. Step 3: Cross multiply
    259.74x = 358.20 × 166.50
  4. Step 4: Simplify right side
    259.74x = 59,640.30
  5. Step 5: Solve for x
    x = 59,640.30/259.74
  6. Step 6: Final answer
    x = 229.62

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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.