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Finding the Fourth Proportional to 264.97, 365.47 and 191.13

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Solution

The fourth proportional to 264.97, 365.47 and 191.13 is: 263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.97 : 365.47 = 191.13 : x
  2. Step 2: Convert to fraction form
    264.97/365.47 = 191.13/x
  3. Step 3: Cross multiply
    264.97x = 365.47 × 191.13
  4. Step 4: Simplify right side
    264.97x = 69,852.28
  5. Step 5: Solve for x
    x = 69,852.28/264.97
  6. Step 6: Final answer
    x = 263.62

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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.