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Finding the Fourth Proportional to 238.06, 328.47 and 139.81

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Solution

The fourth proportional to 238.06, 328.47 and 139.81 is: 192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 328.47 = 139.81 : x
  2. Step 2: Convert to fraction form
    238.06/328.47 = 139.81/x
  3. Step 3: Cross multiply
    238.06x = 328.47 × 139.81
  4. Step 4: Simplify right side
    238.06x = 45,923.39
  5. Step 5: Solve for x
    x = 45,923.39/238.06
  6. Step 6: Final answer
    x = 192.91

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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.