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Finding the Fourth Proportional to 229.80, 317.16 and 164.52

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Solution

The fourth proportional to 229.80, 317.16 and 164.52 is: 227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 317.16 = 164.52 : x
  2. Step 2: Convert to fraction form
    229.80/317.16 = 164.52/x
  3. Step 3: Cross multiply
    229.80x = 317.16 × 164.52
  4. Step 4: Simplify right side
    229.80x = 52,179.16
  5. Step 5: Solve for x
    x = 52,179.16/229.80
  6. Step 6: Final answer
    x = 227.06

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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.