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Finding the Fourth Proportional to 192.48, 267.23 and 186.54

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Solution

The fourth proportional to 192.48, 267.23 and 186.54 is: 258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.48 : 267.23 = 186.54 : x
  2. Step 2: Convert to fraction form
    192.48/267.23 = 186.54/x
  3. Step 3: Cross multiply
    192.48x = 267.23 × 186.54
  4. Step 4: Simplify right side
    192.48x = 49,848.15
  5. Step 5: Solve for x
    x = 49,848.15/192.48
  6. Step 6: Final answer
    x = 258.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.