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Finding the Fourth Proportional to 219.58, 328.96 and 146.23

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Solution

The fourth proportional to 219.58, 328.96 and 146.23 is: 219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.58 : 328.96 = 146.23 : x
  2. Step 2: Convert to fraction form
    219.58/328.96 = 146.23/x
  3. Step 3: Cross multiply
    219.58x = 328.96 × 146.23
  4. Step 4: Simplify right side
    219.58x = 48,104.41
  5. Step 5: Solve for x
    x = 48,104.41/219.58
  6. Step 6: Final answer
    x = 219.07

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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.