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Finding the Fourth Proportional to 264.25, 364.70 and 165.96

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Solution

The fourth proportional to 264.25, 364.70 and 165.96 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.25 : 364.70 = 165.96 : x
  2. Step 2: Convert to fraction form
    264.25/364.70 = 165.96/x
  3. Step 3: Cross multiply
    264.25x = 364.70 × 165.96
  4. Step 4: Simplify right side
    264.25x = 60,525.61
  5. Step 5: Solve for x
    x = 60,525.61/264.25
  6. Step 6: Final answer
    x = 229.05

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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.