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Finding the Fourth Proportional to 188.94, 283.20 and 102.21

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Solution

The fourth proportional to 188.94, 283.20 and 102.21 is: 153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.94 : 283.20 = 102.21 : x
  2. Step 2: Convert to fraction form
    188.94/283.20 = 102.21/x
  3. Step 3: Cross multiply
    188.94x = 283.20 × 102.21
  4. Step 4: Simplify right side
    188.94x = 28,945.87
  5. Step 5: Solve for x
    x = 28,945.87/188.94
  6. Step 6: Final answer
    x = 153.20

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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.