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Finding the Fourth Proportional to 283.79, 391.80 and 201.07

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Solution

The fourth proportional to 283.79, 391.80 and 201.07 is: 277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.79 : 391.80 = 201.07 : x
  2. Step 2: Convert to fraction form
    283.79/391.80 = 201.07/x
  3. Step 3: Cross multiply
    283.79x = 391.80 × 201.07
  4. Step 4: Simplify right side
    283.79x = 78,779.23
  5. Step 5: Solve for x
    x = 78,779.23/283.79
  6. Step 6: Final answer
    x = 277.60

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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.