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Finding the Fourth Proportional to 229.56, 341.76 and 226.32

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Solution

The fourth proportional to 229.56, 341.76 and 226.32 is: 336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 341.76 = 226.32 : x
  2. Step 2: Convert to fraction form
    229.56/341.76 = 226.32/x
  3. Step 3: Cross multiply
    229.56x = 341.76 × 226.32
  4. Step 4: Simplify right side
    229.56x = 77,347.12
  5. Step 5: Solve for x
    x = 77,347.12/229.56
  6. Step 6: Final answer
    x = 336.94

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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.