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Finding the Fourth Proportional to 230.29, 317.87 and 160.57

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Solution

The fourth proportional to 230.29, 317.87 and 160.57 is: 221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.29 : 317.87 = 160.57 : x
  2. Step 2: Convert to fraction form
    230.29/317.87 = 160.57/x
  3. Step 3: Cross multiply
    230.29x = 317.87 × 160.57
  4. Step 4: Simplify right side
    230.29x = 51,040.39
  5. Step 5: Solve for x
    x = 51,040.39/230.29
  6. Step 6: Final answer
    x = 221.64

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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.