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Finding the Fourth Proportional to 229.82, 344.76 and 108.08

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Solution

The fourth proportional to 229.82, 344.76 and 108.08 is: 162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.82 : 344.76 = 108.08 : x
  2. Step 2: Convert to fraction form
    229.82/344.76 = 108.08/x
  3. Step 3: Cross multiply
    229.82x = 344.76 × 108.08
  4. Step 4: Simplify right side
    229.82x = 37,261.64
  5. Step 5: Solve for x
    x = 37,261.64/229.82
  6. Step 6: Final answer
    x = 162.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.