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Finding the Fourth Proportional to 265.91, 366.98 and 149.47

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Solution

The fourth proportional to 265.91, 366.98 and 149.47 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 366.98 = 149.47 : x
  2. Step 2: Convert to fraction form
    265.91/366.98 = 149.47/x
  3. Step 3: Cross multiply
    265.91x = 366.98 × 149.47
  4. Step 4: Simplify right side
    265.91x = 54,852.50
  5. Step 5: Solve for x
    x = 54,852.50/265.91
  6. Step 6: Final answer
    x = 206.28

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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.