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Finding the Fourth Proportional to 189.59, 284.00 and 116.28

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Solution

The fourth proportional to 189.59, 284.00 and 116.28 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.59 : 284.00 = 116.28 : x
  2. Step 2: Convert to fraction form
    189.59/284.00 = 116.28/x
  3. Step 3: Cross multiply
    189.59x = 284.00 × 116.28
  4. Step 4: Simplify right side
    189.59x = 33,022.94
  5. Step 5: Solve for x
    x = 33,022.94/189.59
  6. Step 6: Final answer
    x = 174.19

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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.