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Finding the Fourth Proportional to 268.81, 402.44 and 210.49

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Solution

The fourth proportional to 268.81, 402.44 and 210.49 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.81 : 402.44 = 210.49 : x
  2. Step 2: Convert to fraction form
    268.81/402.44 = 210.49/x
  3. Step 3: Cross multiply
    268.81x = 402.44 × 210.49
  4. Step 4: Simplify right side
    268.81x = 84,709.12
  5. Step 5: Solve for x
    x = 84,709.12/268.81
  6. Step 6: Final answer
    x = 315.13

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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.