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Finding the Fourth Proportional to 192.42, 288.54 and 153.90

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Solution

The fourth proportional to 192.42, 288.54 and 153.90 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.42 : 288.54 = 153.90 : x
  2. Step 2: Convert to fraction form
    192.42/288.54 = 153.90/x
  3. Step 3: Cross multiply
    192.42x = 288.54 × 153.90
  4. Step 4: Simplify right side
    192.42x = 44,406.31
  5. Step 5: Solve for x
    x = 44,406.31/192.42
  6. Step 6: Final answer
    x = 230.78

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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.