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Finding the Fourth Proportional to 380.32, 570.06 and 149.14

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Solution

The fourth proportional to 380.32, 570.06 and 149.14 is: 223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 570.06 = 149.14 : x
  2. Step 2: Convert to fraction form
    380.32/570.06 = 149.14/x
  3. Step 3: Cross multiply
    380.32x = 570.06 × 149.14
  4. Step 4: Simplify right side
    380.32x = 85,017.32
  5. Step 5: Solve for x
    x = 85,017.32/380.32
  6. Step 6: Final answer
    x = 223.54

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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.