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Finding the Fourth Proportional to 380.08, 570.14 and 148.95

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Solution

The fourth proportional to 380.08, 570.14 and 148.95 is: 223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 570.14 = 148.95 : x
  2. Step 2: Convert to fraction form
    380.08/570.14 = 148.95/x
  3. Step 3: Cross multiply
    380.08x = 570.14 × 148.95
  4. Step 4: Simplify right side
    380.08x = 84,922.17
  5. Step 5: Solve for x
    x = 84,922.17/380.08
  6. Step 6: Final answer
    x = 223.43

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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.