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Finding the Fourth Proportional to 186.43, 279.63 and 105.01

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Solution

The fourth proportional to 186.43, 279.63 and 105.01 is: 157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.43 : 279.63 = 105.01 : x
  2. Step 2: Convert to fraction form
    186.43/279.63 = 105.01/x
  3. Step 3: Cross multiply
    186.43x = 279.63 × 105.01
  4. Step 4: Simplify right side
    186.43x = 29,363.95
  5. Step 5: Solve for x
    x = 29,363.95/186.43
  6. Step 6: Final answer
    x = 157.51

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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.