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Finding the Fourth Proportional to 264.75, 365.66 and 212.43

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Solution

The fourth proportional to 264.75, 365.66 and 212.43 is: 293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 365.66 = 212.43 : x
  2. Step 2: Convert to fraction form
    264.75/365.66 = 212.43/x
  3. Step 3: Cross multiply
    264.75x = 365.66 × 212.43
  4. Step 4: Simplify right side
    264.75x = 77,677.15
  5. Step 5: Solve for x
    x = 77,677.15/264.75
  6. Step 6: Final answer
    x = 293.40

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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.