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Finding the Fourth Proportional to 366.48, 548.54 and 229.64

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Solution

The fourth proportional to 366.48, 548.54 and 229.64 is: 343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.48 : 548.54 = 229.64 : x
  2. Step 2: Convert to fraction form
    366.48/548.54 = 229.64/x
  3. Step 3: Cross multiply
    366.48x = 548.54 × 229.64
  4. Step 4: Simplify right side
    366.48x = 125,966.73
  5. Step 5: Solve for x
    x = 125,966.73/366.48
  6. Step 6: Final answer
    x = 343.72

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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.