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Finding the Fourth Proportional to 230.22, 317.84 and 160.25

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Solution

The fourth proportional to 230.22, 317.84 and 160.25 is: 221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.22 : 317.84 = 160.25 : x
  2. Step 2: Convert to fraction form
    230.22/317.84 = 160.25/x
  3. Step 3: Cross multiply
    230.22x = 317.84 × 160.25
  4. Step 4: Simplify right side
    230.22x = 50,931.47
  5. Step 5: Solve for x
    x = 50,931.47/230.22
  6. Step 6: Final answer
    x = 221.23

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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.