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Finding the Fourth Proportional to 192.54, 289.62 and 174.72

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Solution

The fourth proportional to 192.54, 289.62 and 174.72 is: 262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.54 : 289.62 = 174.72 : x
  2. Step 2: Convert to fraction form
    192.54/289.62 = 174.72/x
  3. Step 3: Cross multiply
    192.54x = 289.62 × 174.72
  4. Step 4: Simplify right side
    192.54x = 50,602.41
  5. Step 5: Solve for x
    x = 50,602.41/192.54
  6. Step 6: Final answer
    x = 262.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.