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Finding the Fourth Proportional to 192.70, 287.91 and 148.52

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Solution

The fourth proportional to 192.70, 287.91 and 148.52 is: 221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.70 : 287.91 = 148.52 : x
  2. Step 2: Convert to fraction form
    192.70/287.91 = 148.52/x
  3. Step 3: Cross multiply
    192.70x = 287.91 × 148.52
  4. Step 4: Simplify right side
    192.70x = 42,760.39
  5. Step 5: Solve for x
    x = 42,760.39/192.70
  6. Step 6: Final answer
    x = 221.90

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