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Finding the Fourth Proportional to 192.42, 288.43 and 89.77

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Solution

The fourth proportional to 192.42, 288.43 and 89.77 is: 134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.42 : 288.43 = 89.77 : x
  2. Step 2: Convert to fraction form
    192.42/288.43 = 89.77/x
  3. Step 3: Cross multiply
    192.42x = 288.43 × 89.77
  4. Step 4: Simplify right side
    192.42x = 25,892.36
  5. Step 5: Solve for x
    x = 25,892.36/192.42
  6. Step 6: Final answer
    x = 134.56

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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.