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Finding the Fourth Proportional to 192.32, 288.57 and 84.14

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Solution

The fourth proportional to 192.32, 288.57 and 84.14 is: 126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.32 : 288.57 = 84.14 : x
  2. Step 2: Convert to fraction form
    192.32/288.57 = 84.14/x
  3. Step 3: Cross multiply
    192.32x = 288.57 × 84.14
  4. Step 4: Simplify right side
    192.32x = 24,280.28
  5. Step 5: Solve for x
    x = 24,280.28/192.32
  6. Step 6: Final answer
    x = 126.25

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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.