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Finding the Fourth Proportional to 219.54, 303.16 and 145.84

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Solution

The fourth proportional to 219.54, 303.16 and 145.84 is: 201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.54 : 303.16 = 145.84 : x
  2. Step 2: Convert to fraction form
    219.54/303.16 = 145.84/x
  3. Step 3: Cross multiply
    219.54x = 303.16 × 145.84
  4. Step 4: Simplify right side
    219.54x = 44,212.85
  5. Step 5: Solve for x
    x = 44,212.85/219.54
  6. Step 6: Final answer
    x = 201.39

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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.