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Finding the Fourth Proportional to 340.21, 469.31 and 200.31

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Solution

The fourth proportional to 340.21, 469.31 and 200.31 is: 276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.21 : 469.31 = 200.31 : x
  2. Step 2: Convert to fraction form
    340.21/469.31 = 200.31/x
  3. Step 3: Cross multiply
    340.21x = 469.31 × 200.31
  4. Step 4: Simplify right side
    340.21x = 94,004.72
  5. Step 5: Solve for x
    x = 94,004.72/340.21
  6. Step 6: Final answer
    x = 276.31

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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.