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Finding the Fourth Proportional to 292.98, 439.67 and 195.59

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Solution

The fourth proportional to 292.98, 439.67 and 195.59 is: 293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.98 : 439.67 = 195.59 : x
  2. Step 2: Convert to fraction form
    292.98/439.67 = 195.59/x
  3. Step 3: Cross multiply
    292.98x = 439.67 × 195.59
  4. Step 4: Simplify right side
    292.98x = 85,994.08
  5. Step 5: Solve for x
    x = 85,994.08/292.98
  6. Step 6: Final answer
    x = 293.52

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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.