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Finding the Fourth Proportional to 189.15, 260.76 and 159.99

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Solution

The fourth proportional to 189.15, 260.76 and 159.99 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.15 : 260.76 = 159.99 : x
  2. Step 2: Convert to fraction form
    189.15/260.76 = 159.99/x
  3. Step 3: Cross multiply
    189.15x = 260.76 × 159.99
  4. Step 4: Simplify right side
    189.15x = 41,718.99
  5. Step 5: Solve for x
    x = 41,718.99/189.15
  6. Step 6: Final answer
    x = 220.56

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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.