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Finding the Fourth Proportional to 575.65, 863.55 and 185.56

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Solution

The fourth proportional to 575.65, 863.55 and 185.56 is: 278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.65 : 863.55 = 185.56 : x
  2. Step 2: Convert to fraction form
    575.65/863.55 = 185.56/x
  3. Step 3: Cross multiply
    575.65x = 863.55 × 185.56
  4. Step 4: Simplify right side
    575.65x = 160,236.02
  5. Step 5: Solve for x
    x = 160,236.02/575.65
  6. Step 6: Final answer
    x = 278.36

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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.