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Finding the Fourth Proportional to 223.72, 308.43 and 165.64

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Solution

The fourth proportional to 223.72, 308.43 and 165.64 is: 228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.72 : 308.43 = 165.64 : x
  2. Step 2: Convert to fraction form
    223.72/308.43 = 165.64/x
  3. Step 3: Cross multiply
    223.72x = 308.43 × 165.64
  4. Step 4: Simplify right side
    223.72x = 51,088.35
  5. Step 5: Solve for x
    x = 51,088.35/223.72
  6. Step 6: Final answer
    x = 228.36

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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.