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Finding the Fourth Proportional to 263.64, 364.12 and 165.48

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Solution

The fourth proportional to 263.64, 364.12 and 165.48 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 364.12 = 165.48 : x
  2. Step 2: Convert to fraction form
    263.64/364.12 = 165.48/x
  3. Step 3: Cross multiply
    263.64x = 364.12 × 165.48
  4. Step 4: Simplify right side
    263.64x = 60,254.58
  5. Step 5: Solve for x
    x = 60,254.58/263.64
  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.