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Finding the Fourth Proportional to 191.34, 285.71 and 150.30

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Solution

The fourth proportional to 191.34, 285.71 and 150.30 is: 224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.34 : 285.71 = 150.30 : x
  2. Step 2: Convert to fraction form
    191.34/285.71 = 150.30/x
  3. Step 3: Cross multiply
    191.34x = 285.71 × 150.30
  4. Step 4: Simplify right side
    191.34x = 42,942.59
  5. Step 5: Solve for x
    x = 42,942.59/191.34
  6. Step 6: Final answer
    x = 224.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.