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Finding the Fourth Proportional to 238.83, 329.33 and 207.47

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Solution

The fourth proportional to 238.83, 329.33 and 207.47 is: 286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.83 : 329.33 = 207.47 : x
  2. Step 2: Convert to fraction form
    238.83/329.33 = 207.47/x
  3. Step 3: Cross multiply
    238.83x = 329.33 × 207.47
  4. Step 4: Simplify right side
    238.83x = 68,325.64
  5. Step 5: Solve for x
    x = 68,325.64/238.83
  6. Step 6: Final answer
    x = 286.08

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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.