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Finding the Fourth Proportional to 188.83, 283.20 and 97.48

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Solution

The fourth proportional to 188.83, 283.20 and 97.48 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.83 : 283.20 = 97.48 : x
  2. Step 2: Convert to fraction form
    188.83/283.20 = 97.48/x
  3. Step 3: Cross multiply
    188.83x = 283.20 × 97.48
  4. Step 4: Simplify right side
    188.83x = 27,606.34
  5. Step 5: Solve for x
    x = 27,606.34/188.83
  6. Step 6: Final answer
    x = 146.20

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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.