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Finding the Fourth Proportional to 734.74, 1,102.12 and 186.93

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Solution

The fourth proportional to 734.74, 1,102.12 and 186.93 is: 280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.74 : 1,102.12 = 186.93 : x
  2. Step 2: Convert to fraction form
    734.74/1,102.12 = 186.93/x
  3. Step 3: Cross multiply
    734.74x = 1,102.12 × 186.93
  4. Step 4: Simplify right side
    734.74x = 206,019.29
  5. Step 5: Solve for x
    x = 206,019.29/734.74
  6. Step 6: Final answer
    x = 280.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.