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Finding the Fourth Proportional to 734.24, 1,101.37 and 186.43

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Solution

The fourth proportional to 734.24, 1,101.37 and 186.43 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.24 : 1,101.37 = 186.43 : x
  2. Step 2: Convert to fraction form
    734.24/1,101.37 = 186.43/x
  3. Step 3: Cross multiply
    734.24x = 1,101.37 × 186.43
  4. Step 4: Simplify right side
    734.24x = 205,328.41
  5. Step 5: Solve for x
    x = 205,328.41/734.24
  6. Step 6: Final answer
    x = 279.65

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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.