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Finding the Fourth Proportional to 229.96, 317.20 and 164.35

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Solution

The fourth proportional to 229.96, 317.20 and 164.35 is: 226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.96 : 317.20 = 164.35 : x
  2. Step 2: Convert to fraction form
    229.96/317.20 = 164.35/x
  3. Step 3: Cross multiply
    229.96x = 317.20 × 164.35
  4. Step 4: Simplify right side
    229.96x = 52,129.82
  5. Step 5: Solve for x
    x = 52,129.82/229.96
  6. Step 6: Final answer
    x = 226.70

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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.