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Finding the Fourth Proportional to 305.42, 421.17 and 200.30

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Solution

The fourth proportional to 305.42, 421.17 and 200.30 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 421.17 = 200.30 : x
  2. Step 2: Convert to fraction form
    305.42/421.17 = 200.30/x
  3. Step 3: Cross multiply
    305.42x = 421.17 × 200.30
  4. Step 4: Simplify right side
    305.42x = 84,360.35
  5. Step 5: Solve for x
    x = 84,360.35/305.42
  6. Step 6: Final answer
    x = 276.21

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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.