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Finding the Fourth Proportional to 296.53, 407.98 and 226.18

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Solution

The fourth proportional to 296.53, 407.98 and 226.18 is: 311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.53 : 407.98 = 226.18 : x
  2. Step 2: Convert to fraction form
    296.53/407.98 = 226.18/x
  3. Step 3: Cross multiply
    296.53x = 407.98 × 226.18
  4. Step 4: Simplify right side
    296.53x = 92,276.92
  5. Step 5: Solve for x
    x = 92,276.92/296.53
  6. Step 6: Final answer
    x = 311.19

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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.