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Finding the Fourth Proportional to 265.66, 366.59 and 149.22

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Solution

The fourth proportional to 265.66, 366.59 and 149.22 is: 205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.66 : 366.59 = 149.22 : x
  2. Step 2: Convert to fraction form
    265.66/366.59 = 149.22/x
  3. Step 3: Cross multiply
    265.66x = 366.59 × 149.22
  4. Step 4: Simplify right side
    265.66x = 54,702.93
  5. Step 5: Solve for x
    x = 54,702.93/265.66
  6. Step 6: Final answer
    x = 205.92

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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.