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Finding the Fourth Proportional to 266.06, 398.82 and 210.98

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Solution

The fourth proportional to 266.06, 398.82 and 210.98 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 398.82 = 210.98 : x
  2. Step 2: Convert to fraction form
    266.06/398.82 = 210.98/x
  3. Step 3: Cross multiply
    266.06x = 398.82 × 210.98
  4. Step 4: Simplify right side
    266.06x = 84,143.04
  5. Step 5: Solve for x
    x = 84,143.04/266.06
  6. Step 6: Final answer
    x = 316.26

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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.