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Finding the Fourth Proportional to 210.30, 315.42 and 80.28

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Solution

The fourth proportional to 210.30, 315.42 and 80.28 is: 120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.30 : 315.42 = 80.28 : x
  2. Step 2: Convert to fraction form
    210.30/315.42 = 80.28/x
  3. Step 3: Cross multiply
    210.30x = 315.42 × 80.28
  4. Step 4: Simplify right side
    210.30x = 25,321.92
  5. Step 5: Solve for x
    x = 25,321.92/210.30
  6. Step 6: Final answer
    x = 120.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.