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Finding the Fourth Proportional to 188.71, 283.01 and 106.48

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Solution

The fourth proportional to 188.71, 283.01 and 106.48 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.71 : 283.01 = 106.48 : x
  2. Step 2: Convert to fraction form
    188.71/283.01 = 106.48/x
  3. Step 3: Cross multiply
    188.71x = 283.01 × 106.48
  4. Step 4: Simplify right side
    188.71x = 30,133.93
  5. Step 5: Solve for x
    x = 30,133.93/188.71
  6. Step 6: Final answer
    x = 159.69

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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.