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Finding the Fourth Proportional to 238.06, 354.53 and 229.96

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Solution

The fourth proportional to 238.06, 354.53 and 229.96 is: 342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 354.53 = 229.96 : x
  2. Step 2: Convert to fraction form
    238.06/354.53 = 229.96/x
  3. Step 3: Cross multiply
    238.06x = 354.53 × 229.96
  4. Step 4: Simplify right side
    238.06x = 81,527.72
  5. Step 5: Solve for x
    x = 81,527.72/238.06
  6. Step 6: Final answer
    x = 342.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.