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Finding the Fourth Proportional to 223, 307.83 and 145.42

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Solution

The fourth proportional to 223, 307.83 and 145.42 is: 200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223 : 307.83 = 145.42 : x
  2. Step 2: Convert to fraction form
    223/307.83 = 145.42/x
  3. Step 3: Cross multiply
    223x = 307.83 × 145.42
  4. Step 4: Simplify right side
    223x = 44,764.64
  5. Step 5: Solve for x
    x = 44,764.64/223
  6. Step 6: Final answer
    x = 200.74

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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.