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Finding the Fourth Proportional to 273.47, 377.21 and 175.35

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Solution

The fourth proportional to 273.47, 377.21 and 175.35 is: 241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.47 : 377.21 = 175.35 : x
  2. Step 2: Convert to fraction form
    273.47/377.21 = 175.35/x
  3. Step 3: Cross multiply
    273.47x = 377.21 × 175.35
  4. Step 4: Simplify right side
    273.47x = 66,143.77
  5. Step 5: Solve for x
    x = 66,143.77/273.47
  6. Step 6: Final answer
    x = 241.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.