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Finding the Fourth Proportional to 293.58, 405.12 and 183

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Solution

The fourth proportional to 293.58, 405.12 and 183 is: 252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.58 : 405.12 = 183 : x
  2. Step 2: Convert to fraction form
    293.58/405.12 = 183/x
  3. Step 3: Cross multiply
    293.58x = 405.12 × 183
  4. Step 4: Simplify right side
    293.58x = 74,136.96
  5. Step 5: Solve for x
    x = 74,136.96/293.58
  6. Step 6: Final answer
    x = 252.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.