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Finding the Fourth Proportional to 268.66, 370.29 and 185.77

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Solution

The fourth proportional to 268.66, 370.29 and 185.77 is: 256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.66 : 370.29 = 185.77 : x
  2. Step 2: Convert to fraction form
    268.66/370.29 = 185.77/x
  3. Step 3: Cross multiply
    268.66x = 370.29 × 185.77
  4. Step 4: Simplify right side
    268.66x = 68,788.77
  5. Step 5: Solve for x
    x = 68,788.77/268.66
  6. Step 6: Final answer
    x = 256.04

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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.