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Finding the Fourth Proportional to 265.76, 366.32 and 213.22

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Solution

The fourth proportional to 265.76, 366.32 and 213.22 is: 293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.76 : 366.32 = 213.22 : x
  2. Step 2: Convert to fraction form
    265.76/366.32 = 213.22/x
  3. Step 3: Cross multiply
    265.76x = 366.32 × 213.22
  4. Step 4: Simplify right side
    265.76x = 78,106.75
  5. Step 5: Solve for x
    x = 78,106.75/265.76
  6. Step 6: Final answer
    x = 293.90

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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.