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Finding the Fourth Proportional to 224.76, 307.92 and 216.45

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Solution

The fourth proportional to 224.76, 307.92 and 216.45 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 307.92 = 216.45 : x
  2. Step 2: Convert to fraction form
    224.76/307.92 = 216.45/x
  3. Step 3: Cross multiply
    224.76x = 307.92 × 216.45
  4. Step 4: Simplify right side
    224.76x = 66,649.28
  5. Step 5: Solve for x
    x = 66,649.28/224.76
  6. Step 6: Final answer
    x = 296.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.