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Finding the Fourth Proportional to 397.86, 597.05 and 166.94

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Solution

The fourth proportional to 397.86, 597.05 and 166.94 is: 250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.86 : 597.05 = 166.94 : x
  2. Step 2: Convert to fraction form
    397.86/597.05 = 166.94/x
  3. Step 3: Cross multiply
    397.86x = 597.05 × 166.94
  4. Step 4: Simplify right side
    397.86x = 99,670.57
  5. Step 5: Solve for x
    x = 99,670.57/397.86
  6. Step 6: Final answer
    x = 250.52

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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.