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Finding the Fourth Proportional to 263.85, 364.16 and 165.53

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Solution

The fourth proportional to 263.85, 364.16 and 165.53 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.85 : 364.16 = 165.53 : x
  2. Step 2: Convert to fraction form
    263.85/364.16 = 165.53/x
  3. Step 3: Cross multiply
    263.85x = 364.16 × 165.53
  4. Step 4: Simplify right side
    263.85x = 60,279.40
  5. Step 5: Solve for x
    x = 60,279.40/263.85
  6. Step 6: Final answer
    x = 228.46

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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.