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Finding the Fourth Proportional to 210.90, 315.66 and 195.96

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Solution

The fourth proportional to 210.90, 315.66 and 195.96 is: 293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.90 : 315.66 = 195.96 : x
  2. Step 2: Convert to fraction form
    210.90/315.66 = 195.96/x
  3. Step 3: Cross multiply
    210.90x = 315.66 × 195.96
  4. Step 4: Simplify right side
    210.90x = 61,856.73
  5. Step 5: Solve for x
    x = 61,856.73/210.90
  6. Step 6: Final answer
    x = 293.30

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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.