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Finding the Fourth Proportional to 265.45, 366.31 and 149.01

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Solution

The fourth proportional to 265.45, 366.31 and 149.01 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.45 : 366.31 = 149.01 : x
  2. Step 2: Convert to fraction form
    265.45/366.31 = 149.01/x
  3. Step 3: Cross multiply
    265.45x = 366.31 × 149.01
  4. Step 4: Simplify right side
    265.45x = 54,584.40
  5. Step 5: Solve for x
    x = 54,584.40/265.45
  6. Step 6: Final answer
    x = 205.63

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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.