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Finding the Fourth Proportional to 268.50, 370.20 and 216.05

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Solution

The fourth proportional to 268.50, 370.20 and 216.05 is: 297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.50 : 370.20 = 216.05 : x
  2. Step 2: Convert to fraction form
    268.50/370.20 = 216.05/x
  3. Step 3: Cross multiply
    268.50x = 370.20 × 216.05
  4. Step 4: Simplify right side
    268.50x = 79,981.71
  5. Step 5: Solve for x
    x = 79,981.71/268.50
  6. Step 6: Final answer
    x = 297.88

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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.