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Finding the Fourth Proportional to 293.26, 438.90 and 183.64

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Solution

The fourth proportional to 293.26, 438.90 and 183.64 is: 274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.26 : 438.90 = 183.64 : x
  2. Step 2: Convert to fraction form
    293.26/438.90 = 183.64/x
  3. Step 3: Cross multiply
    293.26x = 438.90 × 183.64
  4. Step 4: Simplify right side
    293.26x = 80,599.60
  5. Step 5: Solve for x
    x = 80,599.60/293.26
  6. Step 6: Final answer
    x = 274.84

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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.