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Finding the Fourth Proportional to 340.97, 511.26 and 135.64

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Solution

The fourth proportional to 340.97, 511.26 and 135.64 is: 203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.97 : 511.26 = 135.64 : x
  2. Step 2: Convert to fraction form
    340.97/511.26 = 135.64/x
  3. Step 3: Cross multiply
    340.97x = 511.26 × 135.64
  4. Step 4: Simplify right side
    340.97x = 69,347.31
  5. Step 5: Solve for x
    x = 69,347.31/340.97
  6. Step 6: Final answer
    x = 203.38

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