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Finding the Fourth Proportional to 243.82, 336.24 and 188.47

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Solution

The fourth proportional to 243.82, 336.24 and 188.47 is: 259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 336.24 = 188.47 : x
  2. Step 2: Convert to fraction form
    243.82/336.24 = 188.47/x
  3. Step 3: Cross multiply
    243.82x = 336.24 × 188.47
  4. Step 4: Simplify right side
    243.82x = 63,371.15
  5. Step 5: Solve for x
    x = 63,371.15/243.82
  6. Step 6: Final answer
    x = 259.91

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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.