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Finding the Fourth Proportional to 213.98, 294.54 and 154.88

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Solution

The fourth proportional to 213.98, 294.54 and 154.88 is: 213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 294.54 = 154.88 : x
  2. Step 2: Convert to fraction form
    213.98/294.54 = 154.88/x
  3. Step 3: Cross multiply
    213.98x = 294.54 × 154.88
  4. Step 4: Simplify right side
    213.98x = 45,616.88
  5. Step 5: Solve for x
    x = 45,616.88/213.98
  6. Step 6: Final answer
    x = 213.19

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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.