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Finding the Fourth Proportional to 192.46, 287.26 and 176.22

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Solution

The fourth proportional to 192.46, 287.26 and 176.22 is: 263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.46 : 287.26 = 176.22 : x
  2. Step 2: Convert to fraction form
    192.46/287.26 = 176.22/x
  3. Step 3: Cross multiply
    192.46x = 287.26 × 176.22
  4. Step 4: Simplify right side
    192.46x = 50,620.96
  5. Step 5: Solve for x
    x = 50,620.96/192.46
  6. Step 6: Final answer
    x = 263.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.