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Finding the Fourth Proportional to 365.91, 548.58 and 149.34

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Solution

The fourth proportional to 365.91, 548.58 and 149.34 is: 223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.91 : 548.58 = 149.34 : x
  2. Step 2: Convert to fraction form
    365.91/548.58 = 149.34/x
  3. Step 3: Cross multiply
    365.91x = 548.58 × 149.34
  4. Step 4: Simplify right side
    365.91x = 81,924.94
  5. Step 5: Solve for x
    x = 81,924.94/365.91
  6. Step 6: Final answer
    x = 223.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.