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Finding the Fourth Proportional to 296.16, 408.96 and 218.40

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Solution

The fourth proportional to 296.16, 408.96 and 218.40 is: 301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 408.96 = 218.40 : x
  2. Step 2: Convert to fraction form
    296.16/408.96 = 218.40/x
  3. Step 3: Cross multiply
    296.16x = 408.96 × 218.40
  4. Step 4: Simplify right side
    296.16x = 89,316.86
  5. Step 5: Solve for x
    x = 89,316.86/296.16
  6. Step 6: Final answer
    x = 301.58

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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.