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Finding the Fourth Proportional to 273.60, 377.54 and 157.14

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Solution

The fourth proportional to 273.60, 377.54 and 157.14 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.60 : 377.54 = 157.14 : x
  2. Step 2: Convert to fraction form
    273.60/377.54 = 157.14/x
  3. Step 3: Cross multiply
    273.60x = 377.54 × 157.14
  4. Step 4: Simplify right side
    273.60x = 59,326.64
  5. Step 5: Solve for x
    x = 59,326.64/273.60
  6. Step 6: Final answer
    x = 216.84

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