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Finding the Fourth Proportional to 245.87, 368.80 and 108.98

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Solution

The fourth proportional to 245.87, 368.80 and 108.98 is: 163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.87 : 368.80 = 108.98 : x
  2. Step 2: Convert to fraction form
    245.87/368.80 = 108.98/x
  3. Step 3: Cross multiply
    245.87x = 368.80 × 108.98
  4. Step 4: Simplify right side
    245.87x = 40,189.44
  5. Step 5: Solve for x
    x = 40,189.44/245.87
  6. Step 6: Final answer
    x = 163.46

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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.