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Finding the Fourth Proportional to 210.20, 315.09 and 65.81

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Solution

The fourth proportional to 210.20, 315.09 and 65.81 is: 98.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.20 : 315.09 = 65.81 : x
  2. Step 2: Convert to fraction form
    210.20/315.09 = 65.81/x
  3. Step 3: Cross multiply
    210.20x = 315.09 × 65.81
  4. Step 4: Simplify right side
    210.20x = 20,736.86
  5. Step 5: Solve for x
    x = 20,736.86/210.20
  6. Step 6: Final answer
    x = 98.66

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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.