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Finding the Fourth Proportional to 267.56, 369.18 and 157.08

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Solution

The fourth proportional to 267.56, 369.18 and 157.08 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.56 : 369.18 = 157.08 : x
  2. Step 2: Convert to fraction form
    267.56/369.18 = 157.08/x
  3. Step 3: Cross multiply
    267.56x = 369.18 × 157.08
  4. Step 4: Simplify right side
    267.56x = 57,990.79
  5. Step 5: Solve for x
    x = 57,990.79/267.56
  6. Step 6: Final answer
    x = 216.74

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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.