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Finding the Fourth Proportional to 192.04, 287.22 and 180.52

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Solution

The fourth proportional to 192.04, 287.22 and 180.52 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.04 : 287.22 = 180.52 : x
  2. Step 2: Convert to fraction form
    192.04/287.22 = 180.52/x
  3. Step 3: Cross multiply
    192.04x = 287.22 × 180.52
  4. Step 4: Simplify right side
    192.04x = 51,848.95
  5. Step 5: Solve for x
    x = 51,848.95/192.04
  6. Step 6: Final answer
    x = 269.99

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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.