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Finding the Fourth Proportional to 268.70, 370.67 and 209.58

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Solution

The fourth proportional to 268.70, 370.67 and 209.58 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.70 : 370.67 = 209.58 : x
  2. Step 2: Convert to fraction form
    268.70/370.67 = 209.58/x
  3. Step 3: Cross multiply
    268.70x = 370.67 × 209.58
  4. Step 4: Simplify right side
    268.70x = 77,683.97
  5. Step 5: Solve for x
    x = 77,683.97/268.70
  6. Step 6: Final answer
    x = 289.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.