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Finding the Fourth Proportional to 189.60, 284.80 and 180.32

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Solution

The fourth proportional to 189.60, 284.80 and 180.32 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.60 : 284.80 = 180.32 : x
  2. Step 2: Convert to fraction form
    189.60/284.80 = 180.32/x
  3. Step 3: Cross multiply
    189.60x = 284.80 × 180.32
  4. Step 4: Simplify right side
    189.60x = 51,355.14
  5. Step 5: Solve for x
    x = 51,355.14/189.60
  6. Step 6: Final answer
    x = 270.86

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Why These Related Problems?

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