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Finding the Fourth Proportional to 265.84, 366.87 and 155.38

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Solution

The fourth proportional to 265.84, 366.87 and 155.38 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.84 : 366.87 = 155.38 : x
  2. Step 2: Convert to fraction form
    265.84/366.87 = 155.38/x
  3. Step 3: Cross multiply
    265.84x = 366.87 × 155.38
  4. Step 4: Simplify right side
    265.84x = 57,004.26
  5. Step 5: Solve for x
    x = 57,004.26/265.84
  6. Step 6: Final answer
    x = 214.43

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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.