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Finding the Fourth Proportional to 286.72, 429.55 and 193.97

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Solution

The fourth proportional to 286.72, 429.55 and 193.97 is: 290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.72 : 429.55 = 193.97 : x
  2. Step 2: Convert to fraction form
    286.72/429.55 = 193.97/x
  3. Step 3: Cross multiply
    286.72x = 429.55 × 193.97
  4. Step 4: Simplify right side
    286.72x = 83,319.81
  5. Step 5: Solve for x
    x = 83,319.81/286.72
  6. Step 6: Final answer
    x = 290.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.