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Finding the Fourth Proportional to 296.43, 444.90 and 193.84

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Solution

The fourth proportional to 296.43, 444.90 and 193.84 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.43 : 444.90 = 193.84 : x
  2. Step 2: Convert to fraction form
    296.43/444.90 = 193.84/x
  3. Step 3: Cross multiply
    296.43x = 444.90 × 193.84
  4. Step 4: Simplify right side
    296.43x = 86,239.11
  5. Step 5: Solve for x
    x = 86,239.11/296.43
  6. Step 6: Final answer
    x = 290.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.