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Finding the Fourth Proportional to 229.68, 316.72 and 164.16

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Solution

The fourth proportional to 229.68, 316.72 and 164.16 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 316.72 = 164.16 : x
  2. Step 2: Convert to fraction form
    229.68/316.72 = 164.16/x
  3. Step 3: Cross multiply
    229.68x = 316.72 × 164.16
  4. Step 4: Simplify right side
    229.68x = 51,992.76
  5. Step 5: Solve for x
    x = 51,992.76/229.68
  6. Step 6: Final answer
    x = 226.37

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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.