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Finding the Fourth Proportional to 273.64, 410.64 and 102.64

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Solution

The fourth proportional to 273.64, 410.64 and 102.64 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.64 : 410.64 = 102.64 : x
  2. Step 2: Convert to fraction form
    273.64/410.64 = 102.64/x
  3. Step 3: Cross multiply
    273.64x = 410.64 × 102.64
  4. Step 4: Simplify right side
    273.64x = 42,148.09
  5. Step 5: Solve for x
    x = 42,148.09/273.64
  6. Step 6: Final answer
    x = 154.03

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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.