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Finding the Fourth Proportional to 380.09, 570.15 and 120.10

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Solution

The fourth proportional to 380.09, 570.15 and 120.10 is: 180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 570.15 = 120.10 : x
  2. Step 2: Convert to fraction form
    380.09/570.15 = 120.10/x
  3. Step 3: Cross multiply
    380.09x = 570.15 × 120.10
  4. Step 4: Simplify right side
    380.09x = 68,475.02
  5. Step 5: Solve for x
    x = 68,475.02/380.09
  6. Step 6: Final answer
    x = 180.15

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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.