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Finding the Fourth Proportional to 192.08, 264.96 and 147.96

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Solution

The fourth proportional to 192.08, 264.96 and 147.96 is: 204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.08 : 264.96 = 147.96 : x
  2. Step 2: Convert to fraction form
    192.08/264.96 = 147.96/x
  3. Step 3: Cross multiply
    192.08x = 264.96 × 147.96
  4. Step 4: Simplify right side
    192.08x = 39,203.48
  5. Step 5: Solve for x
    x = 39,203.48/192.08
  6. Step 6: Final answer
    x = 204.10

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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.