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Finding the Fourth Proportional to 219.77, 329.66 and 117.03

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Solution

The fourth proportional to 219.77, 329.66 and 117.03 is: 175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.77 : 329.66 = 117.03 : x
  2. Step 2: Convert to fraction form
    219.77/329.66 = 117.03/x
  3. Step 3: Cross multiply
    219.77x = 329.66 × 117.03
  4. Step 4: Simplify right side
    219.77x = 38,579.52
  5. Step 5: Solve for x
    x = 38,579.52/219.77
  6. Step 6: Final answer
    x = 175.55

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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.