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Finding the Fourth Proportional to 291.21, 437.28 and 169.56

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Solution

The fourth proportional to 291.21, 437.28 and 169.56 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.21 : 437.28 = 169.56 : x
  2. Step 2: Convert to fraction form
    291.21/437.28 = 169.56/x
  3. Step 3: Cross multiply
    291.21x = 437.28 × 169.56
  4. Step 4: Simplify right side
    291.21x = 74,145.20
  5. Step 5: Solve for x
    x = 74,145.20/291.21
  6. Step 6: Final answer
    x = 254.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.