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Finding the Fourth Proportional to 265.50, 366.41 and 149.06

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Solution

The fourth proportional to 265.50, 366.41 and 149.06 is: 205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.50 : 366.41 = 149.06 : x
  2. Step 2: Convert to fraction form
    265.50/366.41 = 149.06/x
  3. Step 3: Cross multiply
    265.50x = 366.41 × 149.06
  4. Step 4: Simplify right side
    265.50x = 54,618.36
  5. Step 5: Solve for x
    x = 54,618.36/265.50
  6. Step 6: Final answer
    x = 205.72

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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.