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Finding the Fourth Proportional to 273.82, 410.58 and 98.04

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Solution

The fourth proportional to 273.82, 410.58 and 98.04 is: 147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.82 : 410.58 = 98.04 : x
  2. Step 2: Convert to fraction form
    273.82/410.58 = 98.04/x
  3. Step 3: Cross multiply
    273.82x = 410.58 × 98.04
  4. Step 4: Simplify right side
    273.82x = 40,253.26
  5. Step 5: Solve for x
    x = 40,253.26/273.82
  6. Step 6: Final answer
    x = 147.01

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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.