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Finding the Fourth Proportional to 192.40, 288.64 and 84.20

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Solution

The fourth proportional to 192.40, 288.64 and 84.20 is: 126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.40 : 288.64 = 84.20 : x
  2. Step 2: Convert to fraction form
    192.40/288.64 = 84.20/x
  3. Step 3: Cross multiply
    192.40x = 288.64 × 84.20
  4. Step 4: Simplify right side
    192.40x = 24,303.49
  5. Step 5: Solve for x
    x = 24,303.49/192.40
  6. Step 6: Final answer
    x = 126.32

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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.