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Finding the Fourth Proportional to 340.98, 511.48 and 226.16

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Solution

The fourth proportional to 340.98, 511.48 and 226.16 is: 339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.98 : 511.48 = 226.16 : x
  2. Step 2: Convert to fraction form
    340.98/511.48 = 226.16/x
  3. Step 3: Cross multiply
    340.98x = 511.48 × 226.16
  4. Step 4: Simplify right side
    340.98x = 115,676.32
  5. Step 5: Solve for x
    x = 115,676.32/340.98
  6. Step 6: Final answer
    x = 339.25

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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.