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Finding the Fourth Proportional to 229.91, 344.83 and 101.63

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Solution

The fourth proportional to 229.91, 344.83 and 101.63 is: 152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.91 : 344.83 = 101.63 : x
  2. Step 2: Convert to fraction form
    229.91/344.83 = 101.63/x
  3. Step 3: Cross multiply
    229.91x = 344.83 × 101.63
  4. Step 4: Simplify right side
    229.91x = 35,043.09
  5. Step 5: Solve for x
    x = 35,043.09/229.91
  6. Step 6: Final answer
    x = 152.42

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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.