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Finding the Fourth Proportional to 189.14, 260.98 and 159.53

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Solution

The fourth proportional to 189.14, 260.98 and 159.53 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 260.98 = 159.53 : x
  2. Step 2: Convert to fraction form
    189.14/260.98 = 159.53/x
  3. Step 3: Cross multiply
    189.14x = 260.98 × 159.53
  4. Step 4: Simplify right side
    189.14x = 41,632.44
  5. Step 5: Solve for x
    x = 41,632.44/189.14
  6. Step 6: Final answer
    x = 220.12

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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.