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Finding the Fourth Proportional to 219.90, 303.28 and 141.14

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Solution

The fourth proportional to 219.90, 303.28 and 141.14 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 303.28 = 141.14 : x
  2. Step 2: Convert to fraction form
    219.90/303.28 = 141.14/x
  3. Step 3: Cross multiply
    219.90x = 303.28 × 141.14
  4. Step 4: Simplify right side
    219.90x = 42,804.94
  5. Step 5: Solve for x
    x = 42,804.94/219.90
  6. Step 6: Final answer
    x = 194.66

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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.