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Finding the Fourth Proportional to 275.87, 380.90 and 176.45

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Solution

The fourth proportional to 275.87, 380.90 and 176.45 is: 243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.87 : 380.90 = 176.45 : x
  2. Step 2: Convert to fraction form
    275.87/380.90 = 176.45/x
  3. Step 3: Cross multiply
    275.87x = 380.90 × 176.45
  4. Step 4: Simplify right side
    275.87x = 67,208.34
  5. Step 5: Solve for x
    x = 67,208.34/275.87
  6. Step 6: Final answer
    x = 243.62

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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.