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Finding the Fourth Proportional to 291.76, 437.80 and 163.52

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Solution

The fourth proportional to 291.76, 437.80 and 163.52 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.76 : 437.80 = 163.52 : x
  2. Step 2: Convert to fraction form
    291.76/437.80 = 163.52/x
  3. Step 3: Cross multiply
    291.76x = 437.80 × 163.52
  4. Step 4: Simplify right side
    291.76x = 71,589.06
  5. Step 5: Solve for x
    x = 71,589.06/291.76
  6. Step 6: Final answer
    x = 245.37

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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.