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Finding the Fourth Proportional to 191.46, 265.86 and 189.66

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Solution

The fourth proportional to 191.46, 265.86 and 189.66 is: 263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.46 : 265.86 = 189.66 : x
  2. Step 2: Convert to fraction form
    191.46/265.86 = 189.66/x
  3. Step 3: Cross multiply
    191.46x = 265.86 × 189.66
  4. Step 4: Simplify right side
    191.46x = 50,423.01
  5. Step 5: Solve for x
    x = 50,423.01/191.46
  6. Step 6: Final answer
    x = 263.36

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.