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Finding the Fourth Proportional to 199.83, 275.55 and 140.84

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Solution

The fourth proportional to 199.83, 275.55 and 140.84 is: 194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.83 : 275.55 = 140.84 : x
  2. Step 2: Convert to fraction form
    199.83/275.55 = 140.84/x
  3. Step 3: Cross multiply
    199.83x = 275.55 × 140.84
  4. Step 4: Simplify right side
    199.83x = 38,807.08
  5. Step 5: Solve for x
    x = 38,807.08/199.83
  6. Step 6: Final answer
    x = 194.20

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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.