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Finding the Fourth Proportional to 219.33, 328.54 and 97.45

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Solution

The fourth proportional to 219.33, 328.54 and 97.45 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.33 : 328.54 = 97.45 : x
  2. Step 2: Convert to fraction form
    219.33/328.54 = 97.45/x
  3. Step 3: Cross multiply
    219.33x = 328.54 × 97.45
  4. Step 4: Simplify right side
    219.33x = 32,016.22
  5. Step 5: Solve for x
    x = 32,016.22/219.33
  6. Step 6: Final answer
    x = 145.97

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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.