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Finding the Fourth Proportional to 190.07, 261.34 and 162.39

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Solution

The fourth proportional to 190.07, 261.34 and 162.39 is: 223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.07 : 261.34 = 162.39 : x
  2. Step 2: Convert to fraction form
    190.07/261.34 = 162.39/x
  3. Step 3: Cross multiply
    190.07x = 261.34 × 162.39
  4. Step 4: Simplify right side
    190.07x = 42,438.23
  5. Step 5: Solve for x
    x = 42,438.23/190.07
  6. Step 6: Final answer
    x = 223.28

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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.