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Finding the Fourth Proportional to 219.23, 328.81 and 97.41

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Solution

The fourth proportional to 219.23, 328.81 and 97.41 is: 146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.23 : 328.81 = 97.41 : x
  2. Step 2: Convert to fraction form
    219.23/328.81 = 97.41/x
  3. Step 3: Cross multiply
    219.23x = 328.81 × 97.41
  4. Step 4: Simplify right side
    219.23x = 32,029.38
  5. Step 5: Solve for x
    x = 32,029.38/219.23
  6. Step 6: Final answer
    x = 146.10

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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.