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Finding the Fourth Proportional to 230.39, 317.63 and 164.04

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Solution

The fourth proportional to 230.39, 317.63 and 164.04 is: 226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.39 : 317.63 = 164.04 : x
  2. Step 2: Convert to fraction form
    230.39/317.63 = 164.04/x
  3. Step 3: Cross multiply
    230.39x = 317.63 × 164.04
  4. Step 4: Simplify right side
    230.39x = 52,104.11
  5. Step 5: Solve for x
    x = 52,104.11/230.39
  6. Step 6: Final answer
    x = 226.15

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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.