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Finding the Fourth Proportional to 368.67, 552.61 and 149.24

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Solution

The fourth proportional to 368.67, 552.61 and 149.24 is: 223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.67 : 552.61 = 149.24 : x
  2. Step 2: Convert to fraction form
    368.67/552.61 = 149.24/x
  3. Step 3: Cross multiply
    368.67x = 552.61 × 149.24
  4. Step 4: Simplify right side
    368.67x = 82,471.52
  5. Step 5: Solve for x
    x = 82,471.52/368.67
  6. Step 6: Final answer
    x = 223.70

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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.