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Finding the Fourth Proportional to 377.01, 566.54 and 194.54

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Solution

The fourth proportional to 377.01, 566.54 and 194.54 is: 292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.01 : 566.54 = 194.54 : x
  2. Step 2: Convert to fraction form
    377.01/566.54 = 194.54/x
  3. Step 3: Cross multiply
    377.01x = 566.54 × 194.54
  4. Step 4: Simplify right side
    377.01x = 110,216.59
  5. Step 5: Solve for x
    x = 110,216.59/377.01
  6. Step 6: Final answer
    x = 292.34

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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.