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Finding the Fourth Proportional to 213.88, 294.73 and 154.67

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Solution

The fourth proportional to 213.88, 294.73 and 154.67 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 294.73 = 154.67 : x
  2. Step 2: Convert to fraction form
    213.88/294.73 = 154.67/x
  3. Step 3: Cross multiply
    213.88x = 294.73 × 154.67
  4. Step 4: Simplify right side
    213.88x = 45,585.89
  5. Step 5: Solve for x
    x = 45,585.89/213.88
  6. Step 6: Final answer
    x = 213.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.