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Finding the Fourth Proportional to 380.28, 570.36 and 149.28

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Solution

The fourth proportional to 380.28, 570.36 and 149.28 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 570.36 = 149.28 : x
  2. Step 2: Convert to fraction form
    380.28/570.36 = 149.28/x
  3. Step 3: Cross multiply
    380.28x = 570.36 × 149.28
  4. Step 4: Simplify right side
    380.28x = 85,143.34
  5. Step 5: Solve for x
    x = 85,143.34/380.28
  6. Step 6: Final answer
    x = 223.90

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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.