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Finding the Fourth Proportional to 229.78, 317.19 and 159.94

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Solution

The fourth proportional to 229.78, 317.19 and 159.94 is: 220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.78 : 317.19 = 159.94 : x
  2. Step 2: Convert to fraction form
    229.78/317.19 = 159.94/x
  3. Step 3: Cross multiply
    229.78x = 317.19 × 159.94
  4. Step 4: Simplify right side
    229.78x = 50,731.37
  5. Step 5: Solve for x
    x = 50,731.37/229.78
  6. Step 6: Final answer
    x = 220.78

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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.