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Finding the Fourth Proportional to 230.12, 317.28 and 160.04

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Solution

The fourth proportional to 230.12, 317.28 and 160.04 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.12 : 317.28 = 160.04 : x
  2. Step 2: Convert to fraction form
    230.12/317.28 = 160.04/x
  3. Step 3: Cross multiply
    230.12x = 317.28 × 160.04
  4. Step 4: Simplify right side
    230.12x = 50,777.49
  5. Step 5: Solve for x
    x = 50,777.49/230.12
  6. Step 6: Final answer
    x = 220.66

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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.