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Finding the Fourth Proportional to 380.05, 570.14 and 120.08

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Solution

The fourth proportional to 380.05, 570.14 and 120.08 is: 180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.05 : 570.14 = 120.08 : x
  2. Step 2: Convert to fraction form
    380.05/570.14 = 120.08/x
  3. Step 3: Cross multiply
    380.05x = 570.14 × 120.08
  4. Step 4: Simplify right side
    380.05x = 68,462.41
  5. Step 5: Solve for x
    x = 68,462.41/380.05
  6. Step 6: Final answer
    x = 180.14

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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.