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Finding the Fourth Proportional to 219.64, 303.34 and 136.94

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Solution

The fourth proportional to 219.64, 303.34 and 136.94 is: 189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.64 : 303.34 = 136.94 : x
  2. Step 2: Convert to fraction form
    219.64/303.34 = 136.94/x
  3. Step 3: Cross multiply
    219.64x = 303.34 × 136.94
  4. Step 4: Simplify right side
    219.64x = 41,539.80
  5. Step 5: Solve for x
    x = 41,539.80/219.64
  6. Step 6: Final answer
    x = 189.13

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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.