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Finding the Fourth Proportional to 230.25, 317.57 and 160.31

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Solution

The fourth proportional to 230.25, 317.57 and 160.31 is: 221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 317.57 = 160.31 : x
  2. Step 2: Convert to fraction form
    230.25/317.57 = 160.31/x
  3. Step 3: Cross multiply
    230.25x = 317.57 × 160.31
  4. Step 4: Simplify right side
    230.25x = 50,907.26
  5. Step 5: Solve for x
    x = 50,907.26/230.25
  6. Step 6: Final answer
    x = 221.10

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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.