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Finding the Fourth Proportional to 229.83, 317.28 and 159.77

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Solution

The fourth proportional to 229.83, 317.28 and 159.77 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.83 : 317.28 = 159.77 : x
  2. Step 2: Convert to fraction form
    229.83/317.28 = 159.77/x
  3. Step 3: Cross multiply
    229.83x = 317.28 × 159.77
  4. Step 4: Simplify right side
    229.83x = 50,690.24
  5. Step 5: Solve for x
    x = 50,690.24/229.83
  6. Step 6: Final answer
    x = 220.56

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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.