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Finding the Fourth Proportional to 265.77, 366.78 and 149.34

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Solution

The fourth proportional to 265.77, 366.78 and 149.34 is: 206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.77 : 366.78 = 149.34 : x
  2. Step 2: Convert to fraction form
    265.77/366.78 = 149.34/x
  3. Step 3: Cross multiply
    265.77x = 366.78 × 149.34
  4. Step 4: Simplify right side
    265.77x = 54,774.93
  5. Step 5: Solve for x
    x = 54,774.93/265.77
  6. Step 6: Final answer
    x = 206.10

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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.