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Finding the Fourth Proportional to 210.22, 315.12 and 80.12

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Solution

The fourth proportional to 210.22, 315.12 and 80.12 is: 120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.22 : 315.12 = 80.12 : x
  2. Step 2: Convert to fraction form
    210.22/315.12 = 80.12/x
  3. Step 3: Cross multiply
    210.22x = 315.12 × 80.12
  4. Step 4: Simplify right side
    210.22x = 25,247.41
  5. Step 5: Solve for x
    x = 25,247.41/210.22
  6. Step 6: Final answer
    x = 120.10

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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.