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Finding the Fourth Proportional to 305.72, 421.93 and 200.90

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Solution

The fourth proportional to 305.72, 421.93 and 200.90 is: 277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.72 : 421.93 = 200.90 : x
  2. Step 2: Convert to fraction form
    305.72/421.93 = 200.90/x
  3. Step 3: Cross multiply
    305.72x = 421.93 × 200.90
  4. Step 4: Simplify right side
    305.72x = 84,763.13
  5. Step 5: Solve for x
    x = 84,763.13/305.72
  6. Step 6: Final answer
    x = 277.26

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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.