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Finding the Fourth Proportional to 236.69, 326.71 and 147.03

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Solution

The fourth proportional to 236.69, 326.71 and 147.03 is: 202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.69 : 326.71 = 147.03 : x
  2. Step 2: Convert to fraction form
    236.69/326.71 = 147.03/x
  3. Step 3: Cross multiply
    236.69x = 326.71 × 147.03
  4. Step 4: Simplify right side
    236.69x = 48,036.17
  5. Step 5: Solve for x
    x = 48,036.17/236.69
  6. Step 6: Final answer
    x = 202.95

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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.