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Finding the Fourth Proportional to 293.34, 438.96 and 183.72

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Solution

The fourth proportional to 293.34, 438.96 and 183.72 is: 274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.34 : 438.96 = 183.72 : x
  2. Step 2: Convert to fraction form
    293.34/438.96 = 183.72/x
  3. Step 3: Cross multiply
    293.34x = 438.96 × 183.72
  4. Step 4: Simplify right side
    293.34x = 80,645.73
  5. Step 5: Solve for x
    x = 80,645.73/293.34
  6. Step 6: Final answer
    x = 274.92

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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.