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Finding the Fourth Proportional to 199.88, 277.12 and 188.96

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Solution

The fourth proportional to 199.88, 277.12 and 188.96 is: 261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.88 : 277.12 = 188.96 : x
  2. Step 2: Convert to fraction form
    199.88/277.12 = 188.96/x
  3. Step 3: Cross multiply
    199.88x = 277.12 × 188.96
  4. Step 4: Simplify right side
    199.88x = 52,364.60
  5. Step 5: Solve for x
    x = 52,364.60/199.88
  6. Step 6: Final answer
    x = 261.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.