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Finding the Fourth Proportional to 291.86, 437.78 and 109.23

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Solution

The fourth proportional to 291.86, 437.78 and 109.23 is: 163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.86 : 437.78 = 109.23 : x
  2. Step 2: Convert to fraction form
    291.86/437.78 = 109.23/x
  3. Step 3: Cross multiply
    291.86x = 437.78 × 109.23
  4. Step 4: Simplify right side
    291.86x = 47,818.16
  5. Step 5: Solve for x
    x = 47,818.16/291.86
  6. Step 6: Final answer
    x = 163.84

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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.