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Finding the Fourth Proportional to 213.69, 294.47 and 154.58

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Solution

The fourth proportional to 213.69, 294.47 and 154.58 is: 213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 294.47 = 154.58 : x
  2. Step 2: Convert to fraction form
    213.69/294.47 = 154.58/x
  3. Step 3: Cross multiply
    213.69x = 294.47 × 154.58
  4. Step 4: Simplify right side
    213.69x = 45,517.80
  5. Step 5: Solve for x
    x = 45,517.80/213.69
  6. Step 6: Final answer
    x = 213.00

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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.