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Finding the Fourth Proportional to 189.16, 283.77 and 180.40

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Solution

The fourth proportional to 189.16, 283.77 and 180.40 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.16 : 283.77 = 180.40 : x
  2. Step 2: Convert to fraction form
    189.16/283.77 = 180.40/x
  3. Step 3: Cross multiply
    189.16x = 283.77 × 180.40
  4. Step 4: Simplify right side
    189.16x = 51,192.11
  5. Step 5: Solve for x
    x = 51,192.11/189.16
  6. Step 6: Final answer
    x = 270.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.