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Finding the Fourth Proportional to 185.99, 256.37 and 139.29

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Solution

The fourth proportional to 185.99, 256.37 and 139.29 is: 192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.99 : 256.37 = 139.29 : x
  2. Step 2: Convert to fraction form
    185.99/256.37 = 139.29/x
  3. Step 3: Cross multiply
    185.99x = 256.37 × 139.29
  4. Step 4: Simplify right side
    185.99x = 35,708.50
  5. Step 5: Solve for x
    x = 35,708.50/185.99
  6. Step 6: Final answer
    x = 192.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.