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Finding the Fourth Proportional to 229.68, 346.10 and 224.82

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Solution

The fourth proportional to 229.68, 346.10 and 224.82 is: 338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 346.10 = 224.82 : x
  2. Step 2: Convert to fraction form
    229.68/346.10 = 224.82/x
  3. Step 3: Cross multiply
    229.68x = 346.10 × 224.82
  4. Step 4: Simplify right side
    229.68x = 77,809.08
  5. Step 5: Solve for x
    x = 77,809.08/229.68
  6. Step 6: Final answer
    x = 338.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.