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Finding the Fourth Proportional to 229.64, 343.96 and 106.34

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Solution

The fourth proportional to 229.64, 343.96 and 106.34 is: 159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.64 : 343.96 = 106.34 : x
  2. Step 2: Convert to fraction form
    229.64/343.96 = 106.34/x
  3. Step 3: Cross multiply
    229.64x = 343.96 × 106.34
  4. Step 4: Simplify right side
    229.64x = 36,574.99
  5. Step 5: Solve for x
    x = 36,574.99/229.64
  6. Step 6: Final answer
    x = 159.27

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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.