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Finding the Fourth Proportional to 190.30, 262.34 and 124.69

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Solution

The fourth proportional to 190.30, 262.34 and 124.69 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.30 : 262.34 = 124.69 : x
  2. Step 2: Convert to fraction form
    190.30/262.34 = 124.69/x
  3. Step 3: Cross multiply
    190.30x = 262.34 × 124.69
  4. Step 4: Simplify right side
    190.30x = 32,710.85
  5. Step 5: Solve for x
    x = 32,710.85/190.30
  6. Step 6: Final answer
    x = 171.89

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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.