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Finding the Fourth Proportional to 189.70, 284.65 and 189.14

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Solution

The fourth proportional to 189.70, 284.65 and 189.14 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.70 : 284.65 = 189.14 : x
  2. Step 2: Convert to fraction form
    189.70/284.65 = 189.14/x
  3. Step 3: Cross multiply
    189.70x = 284.65 × 189.14
  4. Step 4: Simplify right side
    189.70x = 53,836.80
  5. Step 5: Solve for x
    x = 53,836.80/189.70
  6. Step 6: Final answer
    x = 283.80

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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.