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Finding the Fourth Proportional to 192.42, 288.35 and 151.92

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Solution

The fourth proportional to 192.42, 288.35 and 151.92 is: 227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.42 : 288.35 = 151.92 : x
  2. Step 2: Convert to fraction form
    192.42/288.35 = 151.92/x
  3. Step 3: Cross multiply
    192.42x = 288.35 × 151.92
  4. Step 4: Simplify right side
    192.42x = 43,806.13
  5. Step 5: Solve for x
    x = 43,806.13/192.42
  6. Step 6: Final answer
    x = 227.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.