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Finding the Fourth Proportional to 265.41, 366.30 and 149.00

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Solution

The fourth proportional to 265.41, 366.30 and 149.00 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.41 : 366.30 = 149.00 : x
  2. Step 2: Convert to fraction form
    265.41/366.30 = 149.00/x
  3. Step 3: Cross multiply
    265.41x = 366.30 × 149.00
  4. Step 4: Simplify right side
    265.41x = 54,576.87
  5. Step 5: Solve for x
    x = 54,576.87/265.41
  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.