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Finding the Fourth Proportional to 190.48, 285.45 and 139.24

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Solution

The fourth proportional to 190.48, 285.45 and 139.24 is: 208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.48 : 285.45 = 139.24 : x
  2. Step 2: Convert to fraction form
    190.48/285.45 = 139.24/x
  3. Step 3: Cross multiply
    190.48x = 285.45 × 139.24
  4. Step 4: Simplify right side
    190.48x = 39,746.06
  5. Step 5: Solve for x
    x = 39,746.06/190.48
  6. Step 6: Final answer
    x = 208.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.