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Finding the Fourth Proportional to 292.31, 438.47 and 109.75

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Solution

The fourth proportional to 292.31, 438.47 and 109.75 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.31 : 438.47 = 109.75 : x
  2. Step 2: Convert to fraction form
    292.31/438.47 = 109.75/x
  3. Step 3: Cross multiply
    292.31x = 438.47 × 109.75
  4. Step 4: Simplify right side
    292.31x = 48,122.08
  5. Step 5: Solve for x
    x = 48,122.08/292.31
  6. Step 6: Final answer
    x = 164.63

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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.