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Finding the Fourth Proportional to 273.99, 410.36 and 177.51

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Solution

The fourth proportional to 273.99, 410.36 and 177.51 is: 265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.99 : 410.36 = 177.51 : x
  2. Step 2: Convert to fraction form
    273.99/410.36 = 177.51/x
  3. Step 3: Cross multiply
    273.99x = 410.36 × 177.51
  4. Step 4: Simplify right side
    273.99x = 72,842.12
  5. Step 5: Solve for x
    x = 72,842.12/273.99
  6. Step 6: Final answer
    x = 265.86

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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.