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Finding the Fourth Proportional to 190.35, 262.96 and 128.16

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Solution

The fourth proportional to 190.35, 262.96 and 128.16 is: 177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.35 : 262.96 = 128.16 : x
  2. Step 2: Convert to fraction form
    190.35/262.96 = 128.16/x
  3. Step 3: Cross multiply
    190.35x = 262.96 × 128.16
  4. Step 4: Simplify right side
    190.35x = 33,700.63
  5. Step 5: Solve for x
    x = 33,700.63/190.35
  6. Step 6: Final answer
    x = 177.05

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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.