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Finding the Fourth Proportional to 189.74, 284.62 and 180.02

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Solution

The fourth proportional to 189.74, 284.62 and 180.02 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.74 : 284.62 = 180.02 : x
  2. Step 2: Convert to fraction form
    189.74/284.62 = 180.02/x
  3. Step 3: Cross multiply
    189.74x = 284.62 × 180.02
  4. Step 4: Simplify right side
    189.74x = 51,237.29
  5. Step 5: Solve for x
    x = 51,237.29/189.74
  6. Step 6: Final answer
    x = 270.04

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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.