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Finding the Fourth Proportional to 219.86, 303.47 and 141.19

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Solution

The fourth proportional to 219.86, 303.47 and 141.19 is: 194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.86 : 303.47 = 141.19 : x
  2. Step 2: Convert to fraction form
    219.86/303.47 = 141.19/x
  3. Step 3: Cross multiply
    219.86x = 303.47 × 141.19
  4. Step 4: Simplify right side
    219.86x = 42,846.52
  5. Step 5: Solve for x
    x = 42,846.52/219.86
  6. Step 6: Final answer
    x = 194.89

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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.