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Finding the Fourth Proportional to 210.82, 313.98 and 209.61

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Solution

The fourth proportional to 210.82, 313.98 and 209.61 is: 312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 313.98 = 209.61 : x
  2. Step 2: Convert to fraction form
    210.82/313.98 = 209.61/x
  3. Step 3: Cross multiply
    210.82x = 313.98 × 209.61
  4. Step 4: Simplify right side
    210.82x = 65,813.35
  5. Step 5: Solve for x
    x = 65,813.35/210.82
  6. Step 6: Final answer
    x = 312.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.