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Finding the Fourth Proportional to 192.52, 288.54 and 166.84

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Solution

The fourth proportional to 192.52, 288.54 and 166.84 is: 250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.52 : 288.54 = 166.84 : x
  2. Step 2: Convert to fraction form
    192.52/288.54 = 166.84/x
  3. Step 3: Cross multiply
    192.52x = 288.54 × 166.84
  4. Step 4: Simplify right side
    192.52x = 48,140.01
  5. Step 5: Solve for x
    x = 48,140.01/192.52
  6. Step 6: Final answer
    x = 250.05

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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.