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Finding the Fourth Proportional to 192.04, 264.85 and 144.57

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Solution

The fourth proportional to 192.04, 264.85 and 144.57 is: 199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.04 : 264.85 = 144.57 : x
  2. Step 2: Convert to fraction form
    192.04/264.85 = 144.57/x
  3. Step 3: Cross multiply
    192.04x = 264.85 × 144.57
  4. Step 4: Simplify right side
    192.04x = 38,289.36
  5. Step 5: Solve for x
    x = 38,289.36/192.04
  6. Step 6: Final answer
    x = 199.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.