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Finding the Fourth Proportional to 380.20, 570.21 and 149.08

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Solution

The fourth proportional to 380.20, 570.21 and 149.08 is: 223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 570.21 = 149.08 : x
  2. Step 2: Convert to fraction form
    380.20/570.21 = 149.08/x
  3. Step 3: Cross multiply
    380.20x = 570.21 × 149.08
  4. Step 4: Simplify right side
    380.20x = 85,006.91
  5. Step 5: Solve for x
    x = 85,006.91/380.20
  6. Step 6: Final answer
    x = 223.58

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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.