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Finding the Fourth Proportional to 191.70, 285.95 and 189

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Solution

The fourth proportional to 191.70, 285.95 and 189 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.70 : 285.95 = 189 : x
  2. Step 2: Convert to fraction form
    191.70/285.95 = 189/x
  3. Step 3: Cross multiply
    191.70x = 285.95 × 189
  4. Step 4: Simplify right side
    191.70x = 54,045.02
  5. Step 5: Solve for x
    x = 54,045.02/191.70
  6. Step 6: Final answer
    x = 281.93

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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.