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Finding the Fourth Proportional to 186.99, 281.10 and 105.93

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Solution

The fourth proportional to 186.99, 281.10 and 105.93 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.99 : 281.10 = 105.93 : x
  2. Step 2: Convert to fraction form
    186.99/281.10 = 105.93/x
  3. Step 3: Cross multiply
    186.99x = 281.10 × 105.93
  4. Step 4: Simplify right side
    186.99x = 29,776.92
  5. Step 5: Solve for x
    x = 29,776.92/186.99
  6. Step 6: Final answer
    x = 159.24

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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.