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Finding the Fourth Proportional to 292.57, 438.75 and 109.92

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Solution

The fourth proportional to 292.57, 438.75 and 109.92 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.57 : 438.75 = 109.92 : x
  2. Step 2: Convert to fraction form
    292.57/438.75 = 109.92/x
  3. Step 3: Cross multiply
    292.57x = 438.75 × 109.92
  4. Step 4: Simplify right side
    292.57x = 48,224.66
  5. Step 5: Solve for x
    x = 48,224.66/292.57
  6. Step 6: Final answer
    x = 164.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.