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Finding the Fourth Proportional to 232.09, 346.55 and 191.59

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Solution

The fourth proportional to 232.09, 346.55 and 191.59 is: 286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.09 : 346.55 = 191.59 : x
  2. Step 2: Convert to fraction form
    232.09/346.55 = 191.59/x
  3. Step 3: Cross multiply
    232.09x = 346.55 × 191.59
  4. Step 4: Simplify right side
    232.09x = 66,395.51
  5. Step 5: Solve for x
    x = 66,395.51/232.09
  6. Step 6: Final answer
    x = 286.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.