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Finding the Fourth Proportional to 365.24, 548.04 and 148.88

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Solution

The fourth proportional to 365.24, 548.04 and 148.88 is: 223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 548.04 = 148.88 : x
  2. Step 2: Convert to fraction form
    365.24/548.04 = 148.88/x
  3. Step 3: Cross multiply
    365.24x = 548.04 × 148.88
  4. Step 4: Simplify right side
    365.24x = 81,592.20
  5. Step 5: Solve for x
    x = 81,592.20/365.24
  6. Step 6: Final answer
    x = 223.39

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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.