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Finding the Fourth Proportional to 190.69, 261.55 and 180.24

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Solution

The fourth proportional to 190.69, 261.55 and 180.24 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 261.55 = 180.24 : x
  2. Step 2: Convert to fraction form
    190.69/261.55 = 180.24/x
  3. Step 3: Cross multiply
    190.69x = 261.55 × 180.24
  4. Step 4: Simplify right side
    190.69x = 47,141.77
  5. Step 5: Solve for x
    x = 47,141.77/190.69
  6. Step 6: Final answer
    x = 247.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.