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Finding the Fourth Proportional to 188.80, 283.21 and 97.47

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Solution

The fourth proportional to 188.80, 283.21 and 97.47 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.80 : 283.21 = 97.47 : x
  2. Step 2: Convert to fraction form
    188.80/283.21 = 97.47/x
  3. Step 3: Cross multiply
    188.80x = 283.21 × 97.47
  4. Step 4: Simplify right side
    188.80x = 27,604.24
  5. Step 5: Solve for x
    x = 27,604.24/188.80
  6. Step 6: Final answer
    x = 146.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.