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Finding the Fourth Proportional to 190.04, 261.92 and 160.48

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Solution

The fourth proportional to 190.04, 261.92 and 160.48 is: 221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.04 : 261.92 = 160.48 : x
  2. Step 2: Convert to fraction form
    190.04/261.92 = 160.48/x
  3. Step 3: Cross multiply
    190.04x = 261.92 × 160.48
  4. Step 4: Simplify right side
    190.04x = 42,032.92
  5. Step 5: Solve for x
    x = 42,032.92/190.04
  6. Step 6: Final answer
    x = 221.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.