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Finding the Fourth Proportional to 189.03, 260.50 and 139.22

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Solution

The fourth proportional to 189.03, 260.50 and 139.22 is: 191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.03 : 260.50 = 139.22 : x
  2. Step 2: Convert to fraction form
    189.03/260.50 = 139.22/x
  3. Step 3: Cross multiply
    189.03x = 260.50 × 139.22
  4. Step 4: Simplify right side
    189.03x = 36,264.81
  5. Step 5: Solve for x
    x = 36,264.81/189.03
  6. Step 6: Final answer
    x = 191.85

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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.