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Finding the Fourth Proportional to 265.92, 366.96 and 149.46

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Solution

The fourth proportional to 265.92, 366.96 and 149.46 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 366.96 = 149.46 : x
  2. Step 2: Convert to fraction form
    265.92/366.96 = 149.46/x
  3. Step 3: Cross multiply
    265.92x = 366.96 × 149.46
  4. Step 4: Simplify right side
    265.92x = 54,845.84
  5. Step 5: Solve for x
    x = 54,845.84/265.92
  6. Step 6: Final answer
    x = 206.25

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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.