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Finding the Fourth Proportional to 230.10, 317.48 and 164.49

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Solution

The fourth proportional to 230.10, 317.48 and 164.49 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.10 : 317.48 = 164.49 : x
  2. Step 2: Convert to fraction form
    230.10/317.48 = 164.49/x
  3. Step 3: Cross multiply
    230.10x = 317.48 × 164.49
  4. Step 4: Simplify right side
    230.10x = 52,222.29
  5. Step 5: Solve for x
    x = 52,222.29/230.10
  6. Step 6: Final answer
    x = 226.95

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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.