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Finding the Fourth Proportional to 199.74, 275.65 and 121.07

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Solution

The fourth proportional to 199.74, 275.65 and 121.07 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.74 : 275.65 = 121.07 : x
  2. Step 2: Convert to fraction form
    199.74/275.65 = 121.07/x
  3. Step 3: Cross multiply
    199.74x = 275.65 × 121.07
  4. Step 4: Simplify right side
    199.74x = 33,373.79
  5. Step 5: Solve for x
    x = 33,373.79/199.74
  6. Step 6: Final answer
    x = 167.08

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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.