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Finding the Fourth Proportional to 275.53, 380.15 and 157.50

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Solution

The fourth proportional to 275.53, 380.15 and 157.50 is: 217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.53 : 380.15 = 157.50 : x
  2. Step 2: Convert to fraction form
    275.53/380.15 = 157.50/x
  3. Step 3: Cross multiply
    275.53x = 380.15 × 157.50
  4. Step 4: Simplify right side
    275.53x = 59,873.63
  5. Step 5: Solve for x
    x = 59,873.63/275.53
  6. Step 6: Final answer
    x = 217.30

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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.