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Finding the Fourth Proportional to 265.82, 366.90 and 155.39

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Solution

The fourth proportional to 265.82, 366.90 and 155.39 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.82 : 366.90 = 155.39 : x
  2. Step 2: Convert to fraction form
    265.82/366.90 = 155.39/x
  3. Step 3: Cross multiply
    265.82x = 366.90 × 155.39
  4. Step 4: Simplify right side
    265.82x = 57,012.59
  5. Step 5: Solve for x
    x = 57,012.59/265.82
  6. Step 6: Final answer
    x = 214.48

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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.