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Finding the Fourth Proportional to 224.16, 308.92 and 165.84

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Solution

The fourth proportional to 224.16, 308.92 and 165.84 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.16 : 308.92 = 165.84 : x
  2. Step 2: Convert to fraction form
    224.16/308.92 = 165.84/x
  3. Step 3: Cross multiply
    224.16x = 308.92 × 165.84
  4. Step 4: Simplify right side
    224.16x = 51,231.29
  5. Step 5: Solve for x
    x = 51,231.29/224.16
  6. Step 6: Final answer
    x = 228.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.