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Finding the Fourth Proportional to 292.33, 438.36 and 109.59

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Solution

The fourth proportional to 292.33, 438.36 and 109.59 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.33 : 438.36 = 109.59 : x
  2. Step 2: Convert to fraction form
    292.33/438.36 = 109.59/x
  3. Step 3: Cross multiply
    292.33x = 438.36 × 109.59
  4. Step 4: Simplify right side
    292.33x = 48,039.87
  5. Step 5: Solve for x
    x = 48,039.87/292.33
  6. Step 6: Final answer
    x = 164.33

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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.