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Finding the Fourth Proportional to 265.97, 367.00 and 155.42

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Solution

The fourth proportional to 265.97, 367.00 and 155.42 is: 214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 367.00 = 155.42 : x
  2. Step 2: Convert to fraction form
    265.97/367.00 = 155.42/x
  3. Step 3: Cross multiply
    265.97x = 367.00 × 155.42
  4. Step 4: Simplify right side
    265.97x = 57,039.67
  5. Step 5: Solve for x
    x = 57,039.67/265.97
  6. Step 6: Final answer
    x = 214.46

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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.