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Finding the Fourth Proportional to 291.61, 437.42 and 108.97

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Solution

The fourth proportional to 291.61, 437.42 and 108.97 is: 163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.61 : 437.42 = 108.97 : x
  2. Step 2: Convert to fraction form
    291.61/437.42 = 108.97/x
  3. Step 3: Cross multiply
    291.61x = 437.42 × 108.97
  4. Step 4: Simplify right side
    291.61x = 47,664.84
  5. Step 5: Solve for x
    x = 47,664.84/291.61
  6. Step 6: Final answer
    x = 163.46

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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.