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Finding the Fourth Proportional to 192.56, 266.02 and 177.98

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Solution

The fourth proportional to 192.56, 266.02 and 177.98 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.56 : 266.02 = 177.98 : x
  2. Step 2: Convert to fraction form
    192.56/266.02 = 177.98/x
  3. Step 3: Cross multiply
    192.56x = 266.02 × 177.98
  4. Step 4: Simplify right side
    192.56x = 47,346.24
  5. Step 5: Solve for x
    x = 47,346.24/192.56
  6. Step 6: Final answer
    x = 245.88

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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.