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Finding the Fourth Proportional to 217.55, 300.16 and 127.82

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Solution

The fourth proportional to 217.55, 300.16 and 127.82 is: 176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.55 : 300.16 = 127.82 : x
  2. Step 2: Convert to fraction form
    217.55/300.16 = 127.82/x
  3. Step 3: Cross multiply
    217.55x = 300.16 × 127.82
  4. Step 4: Simplify right side
    217.55x = 38,366.45
  5. Step 5: Solve for x
    x = 38,366.45/217.55
  6. Step 6: Final answer
    x = 176.36

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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.