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Finding the Fourth Proportional to 340.81, 511.31 and 204.02

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Solution

The fourth proportional to 340.81, 511.31 and 204.02 is: 306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.81 : 511.31 = 204.02 : x
  2. Step 2: Convert to fraction form
    340.81/511.31 = 204.02/x
  3. Step 3: Cross multiply
    340.81x = 511.31 × 204.02
  4. Step 4: Simplify right side
    340.81x = 104,317.34
  5. Step 5: Solve for x
    x = 104,317.34/340.81
  6. Step 6: Final answer
    x = 306.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.