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Finding the Fourth Proportional to 232.65, 320.81 and 191.07

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Solution

The fourth proportional to 232.65, 320.81 and 191.07 is: 263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.65 : 320.81 = 191.07 : x
  2. Step 2: Convert to fraction form
    232.65/320.81 = 191.07/x
  3. Step 3: Cross multiply
    232.65x = 320.81 × 191.07
  4. Step 4: Simplify right side
    232.65x = 61,296.21
  5. Step 5: Solve for x
    x = 61,296.21/232.65
  6. Step 6: Final answer
    x = 263.47

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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.