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Finding the Fourth Proportional to 229.67, 317.07 and 164.24

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Solution

The fourth proportional to 229.67, 317.07 and 164.24 is: 226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.67 : 317.07 = 164.24 : x
  2. Step 2: Convert to fraction form
    229.67/317.07 = 164.24/x
  3. Step 3: Cross multiply
    229.67x = 317.07 × 164.24
  4. Step 4: Simplify right side
    229.67x = 52,073.99
  5. Step 5: Solve for x
    x = 52,073.99/229.67
  6. Step 6: Final answer
    x = 226.74

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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.