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Finding the Fourth Proportional to 734.83, 1,102.23 and 187

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Solution

The fourth proportional to 734.83, 1,102.23 and 187 is: 280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.83 : 1,102.23 = 187 : x
  2. Step 2: Convert to fraction form
    734.83/1,102.23 = 187/x
  3. Step 3: Cross multiply
    734.83x = 1,102.23 × 187
  4. Step 4: Simplify right side
    734.83x = 206,117.01
  5. Step 5: Solve for x
    x = 206,117.01/734.83
  6. Step 6: Final answer
    x = 280.50

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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.