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Finding the Fourth Proportional to 232.47, 320.65 and 194.51

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Solution

The fourth proportional to 232.47, 320.65 and 194.51 is: 268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 320.65 = 194.51 : x
  2. Step 2: Convert to fraction form
    232.47/320.65 = 194.51/x
  3. Step 3: Cross multiply
    232.47x = 320.65 × 194.51
  4. Step 4: Simplify right side
    232.47x = 62,368.66
  5. Step 5: Solve for x
    x = 62,368.66/232.47
  6. Step 6: Final answer
    x = 268.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.