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Finding the Fourth Proportional to 190.64, 262.92 and 128.45

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Solution

The fourth proportional to 190.64, 262.92 and 128.45 is: 177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 262.92 = 128.45 : x
  2. Step 2: Convert to fraction form
    190.64/262.92 = 128.45/x
  3. Step 3: Cross multiply
    190.64x = 262.92 × 128.45
  4. Step 4: Simplify right side
    190.64x = 33,773.21
  5. Step 5: Solve for x
    x = 33,773.21/190.64
  6. Step 6: Final answer
    x = 177.15

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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.