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Finding the Fourth Proportional to 275.58, 380.29 and 151.22

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Solution

The fourth proportional to 275.58, 380.29 and 151.22 is: 208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.58 : 380.29 = 151.22 : x
  2. Step 2: Convert to fraction form
    275.58/380.29 = 151.22/x
  3. Step 3: Cross multiply
    275.58x = 380.29 × 151.22
  4. Step 4: Simplify right side
    275.58x = 57,504.80
  5. Step 5: Solve for x
    x = 57,504.80/275.58
  6. Step 6: Final answer
    x = 208.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.