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Finding the Fourth Proportional to 305.24, 421.30 and 200.15

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Solution

The fourth proportional to 305.24, 421.30 and 200.15 is: 276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 421.30 = 200.15 : x
  2. Step 2: Convert to fraction form
    305.24/421.30 = 200.15/x
  3. Step 3: Cross multiply
    305.24x = 421.30 × 200.15
  4. Step 4: Simplify right side
    305.24x = 84,323.20
  5. Step 5: Solve for x
    x = 84,323.20/305.24
  6. Step 6: Final answer
    x = 276.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.