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Finding the Fourth Proportional to 296.83, 409.44 and 186.12

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Solution

The fourth proportional to 296.83, 409.44 and 186.12 is: 256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.83 : 409.44 = 186.12 : x
  2. Step 2: Convert to fraction form
    296.83/409.44 = 186.12/x
  3. Step 3: Cross multiply
    296.83x = 409.44 × 186.12
  4. Step 4: Simplify right side
    296.83x = 76,204.97
  5. Step 5: Solve for x
    x = 76,204.97/296.83
  6. Step 6: Final answer
    x = 256.73

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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.