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Finding the Fourth Proportional to 219.26, 328.78 and 97.56

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Solution

The fourth proportional to 219.26, 328.78 and 97.56 is: 146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.26 : 328.78 = 97.56 : x
  2. Step 2: Convert to fraction form
    219.26/328.78 = 97.56/x
  3. Step 3: Cross multiply
    219.26x = 328.78 × 97.56
  4. Step 4: Simplify right side
    219.26x = 32,075.78
  5. Step 5: Solve for x
    x = 32,075.78/219.26
  6. Step 6: Final answer
    x = 146.29

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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.