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Finding the Fourth Proportional to 267.64, 369.30 and 157.06

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Solution

The fourth proportional to 267.64, 369.30 and 157.06 is: 216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.64 : 369.30 = 157.06 : x
  2. Step 2: Convert to fraction form
    267.64/369.30 = 157.06/x
  3. Step 3: Cross multiply
    267.64x = 369.30 × 157.06
  4. Step 4: Simplify right side
    267.64x = 58,002.26
  5. Step 5: Solve for x
    x = 58,002.26/267.64
  6. Step 6: Final answer
    x = 216.72

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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.