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Finding the Fourth Proportional to 734.07, 1,101.11 and 186.26

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Solution

The fourth proportional to 734.07, 1,101.11 and 186.26 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.07 : 1,101.11 = 186.26 : x
  2. Step 2: Convert to fraction form
    734.07/1,101.11 = 186.26/x
  3. Step 3: Cross multiply
    734.07x = 1,101.11 × 186.26
  4. Step 4: Simplify right side
    734.07x = 205,086.31
  5. Step 5: Solve for x
    x = 205,086.31/734.07
  6. Step 6: Final answer
    x = 279.38

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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.