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Finding the Fourth Proportional to 380.18, 570.16 and 120.20

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Solution

The fourth proportional to 380.18, 570.16 and 120.20 is: 180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.18 : 570.16 = 120.20 : x
  2. Step 2: Convert to fraction form
    380.18/570.16 = 120.20/x
  3. Step 3: Cross multiply
    380.18x = 570.16 × 120.20
  4. Step 4: Simplify right side
    380.18x = 68,533.23
  5. Step 5: Solve for x
    x = 68,533.23/380.18
  6. Step 6: Final answer
    x = 180.27

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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.