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Finding the Fourth Proportional to 199.49, 275.18 and 134.09

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Solution

The fourth proportional to 199.49, 275.18 and 134.09 is: 184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.49 : 275.18 = 134.09 : x
  2. Step 2: Convert to fraction form
    199.49/275.18 = 134.09/x
  3. Step 3: Cross multiply
    199.49x = 275.18 × 134.09
  4. Step 4: Simplify right side
    199.49x = 36,897.51
  5. Step 5: Solve for x
    x = 36,897.51/199.49
  6. Step 6: Final answer
    x = 184.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.