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Finding the Fourth Proportional to 192.06, 264.93 and 123.06

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Solution

The fourth proportional to 192.06, 264.93 and 123.06 is: 169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.06 : 264.93 = 123.06 : x
  2. Step 2: Convert to fraction form
    192.06/264.93 = 123.06/x
  3. Step 3: Cross multiply
    192.06x = 264.93 × 123.06
  4. Step 4: Simplify right side
    192.06x = 32,602.29
  5. Step 5: Solve for x
    x = 32,602.29/192.06
  6. Step 6: Final answer
    x = 169.75

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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.