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Finding the Fourth Proportional to 268.86, 370.65 and 209.67

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Solution

The fourth proportional to 268.86, 370.65 and 209.67 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.86 : 370.65 = 209.67 : x
  2. Step 2: Convert to fraction form
    268.86/370.65 = 209.67/x
  3. Step 3: Cross multiply
    268.86x = 370.65 × 209.67
  4. Step 4: Simplify right side
    268.86x = 77,714.19
  5. Step 5: Solve for x
    x = 77,714.19/268.86
  6. Step 6: Final answer
    x = 289.05

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