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Finding the Fourth Proportional to 273.64, 377.66 and 157.20

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Solution

The fourth proportional to 273.64, 377.66 and 157.20 is: 216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.64 : 377.66 = 157.20 : x
  2. Step 2: Convert to fraction form
    273.64/377.66 = 157.20/x
  3. Step 3: Cross multiply
    273.64x = 377.66 × 157.20
  4. Step 4: Simplify right side
    273.64x = 59,368.15
  5. Step 5: Solve for x
    x = 59,368.15/273.64
  6. Step 6: Final answer
    x = 216.96

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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.