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Finding the Fourth Proportional to 292.28, 438.49 and 109.68

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Solution

The fourth proportional to 292.28, 438.49 and 109.68 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.28 : 438.49 = 109.68 : x
  2. Step 2: Convert to fraction form
    292.28/438.49 = 109.68/x
  3. Step 3: Cross multiply
    292.28x = 438.49 × 109.68
  4. Step 4: Simplify right side
    292.28x = 48,091.66
  5. Step 5: Solve for x
    x = 48,091.66/292.28
  6. Step 6: Final answer
    x = 164.54

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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.