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Finding the Fourth Proportional to 273.38, 410.07 and 102.38

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Solution

The fourth proportional to 273.38, 410.07 and 102.38 is: 153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 410.07 = 102.38 : x
  2. Step 2: Convert to fraction form
    273.38/410.07 = 102.38/x
  3. Step 3: Cross multiply
    273.38x = 410.07 × 102.38
  4. Step 4: Simplify right side
    273.38x = 41,980.92
  5. Step 5: Solve for x
    x = 41,980.92/273.38
  6. Step 6: Final answer
    x = 153.57

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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.