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Finding the Fourth Proportional to 199.51, 275.35 and 125.85

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Solution

The fourth proportional to 199.51, 275.35 and 125.85 is: 173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.51 : 275.35 = 125.85 : x
  2. Step 2: Convert to fraction form
    199.51/275.35 = 125.85/x
  3. Step 3: Cross multiply
    199.51x = 275.35 × 125.85
  4. Step 4: Simplify right side
    199.51x = 34,653.75
  5. Step 5: Solve for x
    x = 34,653.75/199.51
  6. Step 6: Final answer
    x = 173.69

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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.