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Finding the Fourth Proportional to 292.94, 439.38 and 184.46

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Solution

The fourth proportional to 292.94, 439.38 and 184.46 is: 276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.94 : 439.38 = 184.46 : x
  2. Step 2: Convert to fraction form
    292.94/439.38 = 184.46/x
  3. Step 3: Cross multiply
    292.94x = 439.38 × 184.46
  4. Step 4: Simplify right side
    292.94x = 81,048.03
  5. Step 5: Solve for x
    x = 81,048.03/292.94
  6. Step 6: Final answer
    x = 276.67

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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.