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Finding the Fourth Proportional to 263.84, 364.28 and 165.64

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Solution

The fourth proportional to 263.84, 364.28 and 165.64 is: 228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 364.28 = 165.64 : x
  2. Step 2: Convert to fraction form
    263.84/364.28 = 165.64/x
  3. Step 3: Cross multiply
    263.84x = 364.28 × 165.64
  4. Step 4: Simplify right side
    263.84x = 60,339.34
  5. Step 5: Solve for x
    x = 60,339.34/263.84
  6. Step 6: Final answer
    x = 228.70

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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.