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Finding the Fourth Proportional to 185.55, 278.33 and 48.60

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Solution

The fourth proportional to 185.55, 278.33 and 48.60 is: 72.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.55 : 278.33 = 48.60 : x
  2. Step 2: Convert to fraction form
    185.55/278.33 = 48.60/x
  3. Step 3: Cross multiply
    185.55x = 278.33 × 48.60
  4. Step 4: Simplify right side
    185.55x = 13,525.45
  5. Step 5: Solve for x
    x = 13,525.45/185.55
  6. Step 6: Final answer
    x = 72.90

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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.