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Finding the Fourth Proportional to 305.19, 421.01 and 200.23

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Solution

The fourth proportional to 305.19, 421.01 and 200.23 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.19 : 421.01 = 200.23 : x
  2. Step 2: Convert to fraction form
    305.19/421.01 = 200.23/x
  3. Step 3: Cross multiply
    305.19x = 421.01 × 200.23
  4. Step 4: Simplify right side
    305.19x = 84,298.83
  5. Step 5: Solve for x
    x = 84,298.83/305.19
  6. Step 6: Final answer
    x = 276.22

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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.