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Finding the Fourth Proportional to 238.55, 357.58 and 180.60

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Solution

The fourth proportional to 238.55, 357.58 and 180.60 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.55 : 357.58 = 180.60 : x
  2. Step 2: Convert to fraction form
    238.55/357.58 = 180.60/x
  3. Step 3: Cross multiply
    238.55x = 357.58 × 180.60
  4. Step 4: Simplify right side
    238.55x = 64,577.83
  5. Step 5: Solve for x
    x = 64,577.83/238.55
  6. Step 6: Final answer
    x = 270.72

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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.