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Finding the Fourth Proportional to 190.24, 262.56 and 124.76

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Solution

The fourth proportional to 190.24, 262.56 and 124.76 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 262.56 = 124.76 : x
  2. Step 2: Convert to fraction form
    190.24/262.56 = 124.76/x
  3. Step 3: Cross multiply
    190.24x = 262.56 × 124.76
  4. Step 4: Simplify right side
    190.24x = 32,756.99
  5. Step 5: Solve for x
    x = 32,756.99/190.24
  6. Step 6: Final answer
    x = 172.19

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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.