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Finding the Fourth Proportional to 265.91, 366.93 and 149.48

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Solution

The fourth proportional to 265.91, 366.93 and 149.48 is: 206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 366.93 = 149.48 : x
  2. Step 2: Convert to fraction form
    265.91/366.93 = 149.48/x
  3. Step 3: Cross multiply
    265.91x = 366.93 × 149.48
  4. Step 4: Simplify right side
    265.91x = 54,848.70
  5. Step 5: Solve for x
    x = 54,848.70/265.91
  6. Step 6: Final answer
    x = 206.27

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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.