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Finding the Fourth Proportional to 192.10, 264.93 and 133.90

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Solution

The fourth proportional to 192.10, 264.93 and 133.90 is: 184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 264.93 = 133.90 : x
  2. Step 2: Convert to fraction form
    192.10/264.93 = 133.90/x
  3. Step 3: Cross multiply
    192.10x = 264.93 × 133.90
  4. Step 4: Simplify right side
    192.10x = 35,474.13
  5. Step 5: Solve for x
    x = 35,474.13/192.10
  6. Step 6: Final answer
    x = 184.66

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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.