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Finding the Fourth Proportional to 233.62, 322.71 and 186.82

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Solution

The fourth proportional to 233.62, 322.71 and 186.82 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.62 : 322.71 = 186.82 : x
  2. Step 2: Convert to fraction form
    233.62/322.71 = 186.82/x
  3. Step 3: Cross multiply
    233.62x = 322.71 × 186.82
  4. Step 4: Simplify right side
    233.62x = 60,288.68
  5. Step 5: Solve for x
    x = 60,288.68/233.62
  6. Step 6: Final answer
    x = 258.06

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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.