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Finding the Fourth Proportional to 189.98, 259.80 and 189.98

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Solution

The fourth proportional to 189.98, 259.80 and 189.98 is: 259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.98 : 259.80 = 189.98 : x
  2. Step 2: Convert to fraction form
    189.98/259.80 = 189.98/x
  3. Step 3: Cross multiply
    189.98x = 259.80 × 189.98
  4. Step 4: Simplify right side
    189.98x = 49,356.80
  5. Step 5: Solve for x
    x = 49,356.80/189.98
  6. Step 6: Final answer
    x = 259.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.