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Finding the Fourth Proportional to 226.98, 340.35 and 98.58

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Solution

The fourth proportional to 226.98, 340.35 and 98.58 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.98 : 340.35 = 98.58 : x
  2. Step 2: Convert to fraction form
    226.98/340.35 = 98.58/x
  3. Step 3: Cross multiply
    226.98x = 340.35 × 98.58
  4. Step 4: Simplify right side
    226.98x = 33,551.70
  5. Step 5: Solve for x
    x = 33,551.70/226.98
  6. Step 6: Final answer
    x = 147.82

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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.