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Finding the Fourth Proportional to 219.06, 302.27 and 140.40

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Solution

The fourth proportional to 219.06, 302.27 and 140.40 is: 193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.06 : 302.27 = 140.40 : x
  2. Step 2: Convert to fraction form
    219.06/302.27 = 140.40/x
  3. Step 3: Cross multiply
    219.06x = 302.27 × 140.40
  4. Step 4: Simplify right side
    219.06x = 42,438.01
  5. Step 5: Solve for x
    x = 42,438.01/219.06
  6. Step 6: Final answer
    x = 193.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.