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Finding the Fourth Proportional to 265.75, 366.74 and 149.34

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Solution

The fourth proportional to 265.75, 366.74 and 149.34 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.75 : 366.74 = 149.34 : x
  2. Step 2: Convert to fraction form
    265.75/366.74 = 149.34/x
  3. Step 3: Cross multiply
    265.75x = 366.74 × 149.34
  4. Step 4: Simplify right side
    265.75x = 54,768.95
  5. Step 5: Solve for x
    x = 54,768.95/265.75
  6. Step 6: Final answer
    x = 206.09

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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.