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Finding the Fourth Proportional to 213.02, 318.39 and 185.38

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Solution

The fourth proportional to 213.02, 318.39 and 185.38 is: 277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.02 : 318.39 = 185.38 : x
  2. Step 2: Convert to fraction form
    213.02/318.39 = 185.38/x
  3. Step 3: Cross multiply
    213.02x = 318.39 × 185.38
  4. Step 4: Simplify right side
    213.02x = 59,023.14
  5. Step 5: Solve for x
    x = 59,023.14/213.02
  6. Step 6: Final answer
    x = 277.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.