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Finding the Fourth Proportional to 213.81, 320.68 and 98.25

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Solution

The fourth proportional to 213.81, 320.68 and 98.25 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.81 : 320.68 = 98.25 : x
  2. Step 2: Convert to fraction form
    213.81/320.68 = 98.25/x
  3. Step 3: Cross multiply
    213.81x = 320.68 × 98.25
  4. Step 4: Simplify right side
    213.81x = 31,506.81
  5. Step 5: Solve for x
    x = 31,506.81/213.81
  6. Step 6: Final answer
    x = 147.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.