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Finding the Fourth Proportional to 210.11, 315.17 and 65.83

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Solution

The fourth proportional to 210.11, 315.17 and 65.83 is: 98.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.11 : 315.17 = 65.83 : x
  2. Step 2: Convert to fraction form
    210.11/315.17 = 65.83/x
  3. Step 3: Cross multiply
    210.11x = 315.17 × 65.83
  4. Step 4: Simplify right side
    210.11x = 20,747.64
  5. Step 5: Solve for x
    x = 20,747.64/210.11
  6. Step 6: Final answer
    x = 98.75

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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.