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Finding the Fourth Proportional to 219.27, 328.95 and 73.04

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Solution

The fourth proportional to 219.27, 328.95 and 73.04 is: 109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.27 : 328.95 = 73.04 : x
  2. Step 2: Convert to fraction form
    219.27/328.95 = 73.04/x
  3. Step 3: Cross multiply
    219.27x = 328.95 × 73.04
  4. Step 4: Simplify right side
    219.27x = 24,024.86
  5. Step 5: Solve for x
    x = 24,024.86/219.27
  6. Step 6: Final answer
    x = 109.57

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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.