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Finding the Fourth Proportional to 292.23, 438.42 and 109.69

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Solution

The fourth proportional to 292.23, 438.42 and 109.69 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.23 : 438.42 = 109.69 : x
  2. Step 2: Convert to fraction form
    292.23/438.42 = 109.69/x
  3. Step 3: Cross multiply
    292.23x = 438.42 × 109.69
  4. Step 4: Simplify right side
    292.23x = 48,090.29
  5. Step 5: Solve for x
    x = 48,090.29/292.23
  6. Step 6: Final answer
    x = 164.56

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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.