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Finding the Fourth Proportional to 365.04, 547.02 and 227.88

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Solution

The fourth proportional to 365.04, 547.02 and 227.88 is: 341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 547.02 = 227.88 : x
  2. Step 2: Convert to fraction form
    365.04/547.02 = 227.88/x
  3. Step 3: Cross multiply
    365.04x = 547.02 × 227.88
  4. Step 4: Simplify right side
    365.04x = 124,654.92
  5. Step 5: Solve for x
    x = 124,654.92/365.04
  6. Step 6: Final answer
    x = 341.48

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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.