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Finding the Fourth Proportional to 196.20, 293.58 and 183.90

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Solution

The fourth proportional to 196.20, 293.58 and 183.90 is: 275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 293.58 = 183.90 : x
  2. Step 2: Convert to fraction form
    196.20/293.58 = 183.90/x
  3. Step 3: Cross multiply
    196.20x = 293.58 × 183.90
  4. Step 4: Simplify right side
    196.20x = 53,989.36
  5. Step 5: Solve for x
    x = 53,989.36/196.20
  6. Step 6: Final answer
    x = 275.18

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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.