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Finding the Fourth Proportional to 340.88, 511.33 and 135.44

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Solution

The fourth proportional to 340.88, 511.33 and 135.44 is: 203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.88 : 511.33 = 135.44 : x
  2. Step 2: Convert to fraction form
    340.88/511.33 = 135.44/x
  3. Step 3: Cross multiply
    340.88x = 511.33 × 135.44
  4. Step 4: Simplify right side
    340.88x = 69,252.58
  5. Step 5: Solve for x
    x = 69,252.58/340.88
  6. Step 6: Final answer
    x = 203.16

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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.