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Finding the Fourth Proportional to 265.76, 366.78 and 155.27

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Solution

The fourth proportional to 265.76, 366.78 and 155.27 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.76 : 366.78 = 155.27 : x
  2. Step 2: Convert to fraction form
    265.76/366.78 = 155.27/x
  3. Step 3: Cross multiply
    265.76x = 366.78 × 155.27
  4. Step 4: Simplify right side
    265.76x = 56,949.93
  5. Step 5: Solve for x
    x = 56,949.93/265.76
  6. Step 6: Final answer
    x = 214.29

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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.