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Finding the Fourth Proportional to 275.92, 380.28 and 206.08

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Solution

The fourth proportional to 275.92, 380.28 and 206.08 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 380.28 = 206.08 : x
  2. Step 2: Convert to fraction form
    275.92/380.28 = 206.08/x
  3. Step 3: Cross multiply
    275.92x = 380.28 × 206.08
  4. Step 4: Simplify right side
    275.92x = 78,368.10
  5. Step 5: Solve for x
    x = 78,368.10/275.92
  6. Step 6: Final answer
    x = 284.02

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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.