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Finding the Fourth Proportional to 238.02, 328.41 and 139.77

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Solution

The fourth proportional to 238.02, 328.41 and 139.77 is: 192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.02 : 328.41 = 139.77 : x
  2. Step 2: Convert to fraction form
    238.02/328.41 = 139.77/x
  3. Step 3: Cross multiply
    238.02x = 328.41 × 139.77
  4. Step 4: Simplify right side
    238.02x = 45,901.87
  5. Step 5: Solve for x
    x = 45,901.87/238.02
  6. Step 6: Final answer
    x = 192.85

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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.