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Finding the Fourth Proportional to 230.30, 317.57 and 160.43

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Solution

The fourth proportional to 230.30, 317.57 and 160.43 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.30 : 317.57 = 160.43 : x
  2. Step 2: Convert to fraction form
    230.30/317.57 = 160.43/x
  3. Step 3: Cross multiply
    230.30x = 317.57 × 160.43
  4. Step 4: Simplify right side
    230.30x = 50,946.95
  5. Step 5: Solve for x
    x = 50,946.95/230.30
  6. Step 6: Final answer
    x = 221.22

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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.