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Finding the Fourth Proportional to 265.65, 366.57 and 149.22

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Solution

The fourth proportional to 265.65, 366.57 and 149.22 is: 205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 366.57 = 149.22 : x
  2. Step 2: Convert to fraction form
    265.65/366.57 = 149.22/x
  3. Step 3: Cross multiply
    265.65x = 366.57 × 149.22
  4. Step 4: Simplify right side
    265.65x = 54,699.58
  5. Step 5: Solve for x
    x = 54,699.58/265.65
  6. Step 6: Final answer
    x = 205.91

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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.