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Finding the Fourth Proportional to 229.66, 344.08 and 157.84

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Solution

The fourth proportional to 229.66, 344.08 and 157.84 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.66 : 344.08 = 157.84 : x
  2. Step 2: Convert to fraction form
    229.66/344.08 = 157.84/x
  3. Step 3: Cross multiply
    229.66x = 344.08 × 157.84
  4. Step 4: Simplify right side
    229.66x = 54,309.59
  5. Step 5: Solve for x
    x = 54,309.59/229.66
  6. Step 6: Final answer
    x = 236.48

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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.