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Finding the Fourth Proportional to 265.78, 366.84 and 149.35

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Solution

The fourth proportional to 265.78, 366.84 and 149.35 is: 206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 366.84 = 149.35 : x
  2. Step 2: Convert to fraction form
    265.78/366.84 = 149.35/x
  3. Step 3: Cross multiply
    265.78x = 366.84 × 149.35
  4. Step 4: Simplify right side
    265.78x = 54,787.55
  5. Step 5: Solve for x
    x = 54,787.55/265.78
  6. Step 6: Final answer
    x = 206.14

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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.