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Finding the Fourth Proportional to 229.24, 343.65 and 147.84

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Solution

The fourth proportional to 229.24, 343.65 and 147.84 is: 221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.24 : 343.65 = 147.84 : x
  2. Step 2: Convert to fraction form
    229.24/343.65 = 147.84/x
  3. Step 3: Cross multiply
    229.24x = 343.65 × 147.84
  4. Step 4: Simplify right side
    229.24x = 50,805.22
  5. Step 5: Solve for x
    x = 50,805.22/229.24
  6. Step 6: Final answer
    x = 221.62

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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.