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Finding the Fourth Proportional to 219.26, 328.96 and 103.74

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Solution

The fourth proportional to 219.26, 328.96 and 103.74 is: 155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.26 : 328.96 = 103.74 : x
  2. Step 2: Convert to fraction form
    219.26/328.96 = 103.74/x
  3. Step 3: Cross multiply
    219.26x = 328.96 × 103.74
  4. Step 4: Simplify right side
    219.26x = 34,126.31
  5. Step 5: Solve for x
    x = 34,126.31/219.26
  6. Step 6: Final answer
    x = 155.64

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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.