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Finding the Fourth Proportional to 213.27, 293.85 and 147.66

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Solution

The fourth proportional to 213.27, 293.85 and 147.66 is: 203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.27 : 293.85 = 147.66 : x
  2. Step 2: Convert to fraction form
    213.27/293.85 = 147.66/x
  3. Step 3: Cross multiply
    213.27x = 293.85 × 147.66
  4. Step 4: Simplify right side
    213.27x = 43,389.89
  5. Step 5: Solve for x
    x = 43,389.89/213.27
  6. Step 6: Final answer
    x = 203.45

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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.