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Finding the Fourth Proportional to 229.75, 317.09 and 159.77

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Solution

The fourth proportional to 229.75, 317.09 and 159.77 is: 220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.75 : 317.09 = 159.77 : x
  2. Step 2: Convert to fraction form
    229.75/317.09 = 159.77/x
  3. Step 3: Cross multiply
    229.75x = 317.09 × 159.77
  4. Step 4: Simplify right side
    229.75x = 50,660.67
  5. Step 5: Solve for x
    x = 50,660.67/229.75
  6. Step 6: Final answer
    x = 220.50

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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.