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Finding the Fourth Proportional to 273.66, 377.10 and 252.06

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Solution

The fourth proportional to 273.66, 377.10 and 252.06 is: 347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.66 : 377.10 = 252.06 : x
  2. Step 2: Convert to fraction form
    273.66/377.10 = 252.06/x
  3. Step 3: Cross multiply
    273.66x = 377.10 × 252.06
  4. Step 4: Simplify right side
    273.66x = 95,051.83
  5. Step 5: Solve for x
    x = 95,051.83/273.66
  6. Step 6: Final answer
    x = 347.34

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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.