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Finding the Fourth Proportional to 273.64, 377.64 and 157.24

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Solution

The fourth proportional to 273.64, 377.64 and 157.24 is: 217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.64 : 377.64 = 157.24 : x
  2. Step 2: Convert to fraction form
    273.64/377.64 = 157.24/x
  3. Step 3: Cross multiply
    273.64x = 377.64 × 157.24
  4. Step 4: Simplify right side
    273.64x = 59,380.11
  5. Step 5: Solve for x
    x = 59,380.11/273.64
  6. Step 6: Final answer
    x = 217.00

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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.