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Finding the Fourth Proportional to 189.16, 260.97 and 130.99

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Solution

The fourth proportional to 189.16, 260.97 and 130.99 is: 180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.16 : 260.97 = 130.99 : x
  2. Step 2: Convert to fraction form
    189.16/260.97 = 130.99/x
  3. Step 3: Cross multiply
    189.16x = 260.97 × 130.99
  4. Step 4: Simplify right side
    189.16x = 34,184.46
  5. Step 5: Solve for x
    x = 34,184.46/189.16
  6. Step 6: Final answer
    x = 180.72

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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.