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Finding the Fourth Proportional to 265.57, 366.41 and 155.07

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Solution

The fourth proportional to 265.57, 366.41 and 155.07 is: 213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.57 : 366.41 = 155.07 : x
  2. Step 2: Convert to fraction form
    265.57/366.41 = 155.07/x
  3. Step 3: Cross multiply
    265.57x = 366.41 × 155.07
  4. Step 4: Simplify right side
    265.57x = 56,819.59
  5. Step 5: Solve for x
    x = 56,819.59/265.57
  6. Step 6: Final answer
    x = 213.96

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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.