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Finding the Fourth Proportional to 229.76, 343.68 and 157.44

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Solution

The fourth proportional to 229.76, 343.68 and 157.44 is: 235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 343.68 = 157.44 : x
  2. Step 2: Convert to fraction form
    229.76/343.68 = 157.44/x
  3. Step 3: Cross multiply
    229.76x = 343.68 × 157.44
  4. Step 4: Simplify right side
    229.76x = 54,108.98
  5. Step 5: Solve for x
    x = 54,108.98/229.76
  6. Step 6: Final answer
    x = 235.50

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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.