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Finding the Fourth Proportional to 199.79, 297.70 and 178.25

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Solution

The fourth proportional to 199.79, 297.70 and 178.25 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.79 : 297.70 = 178.25 : x
  2. Step 2: Convert to fraction form
    199.79/297.70 = 178.25/x
  3. Step 3: Cross multiply
    199.79x = 297.70 × 178.25
  4. Step 4: Simplify right side
    199.79x = 53,065.27
  5. Step 5: Solve for x
    x = 53,065.27/199.79
  6. Step 6: Final answer
    x = 265.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.