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Finding the Fourth Proportional to 265.79, 367.14 and 217.28

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Solution

The fourth proportional to 265.79, 367.14 and 217.28 is: 300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.79 : 367.14 = 217.28 : x
  2. Step 2: Convert to fraction form
    265.79/367.14 = 217.28/x
  3. Step 3: Cross multiply
    265.79x = 367.14 × 217.28
  4. Step 4: Simplify right side
    265.79x = 79,772.18
  5. Step 5: Solve for x
    x = 79,772.18/265.79
  6. Step 6: Final answer
    x = 300.13

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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.