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Finding the Fourth Proportional to 275.95, 415.82 and 228.27

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Solution

The fourth proportional to 275.95, 415.82 and 228.27 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.95 : 415.82 = 228.27 : x
  2. Step 2: Convert to fraction form
    275.95/415.82 = 228.27/x
  3. Step 3: Cross multiply
    275.95x = 415.82 × 228.27
  4. Step 4: Simplify right side
    275.95x = 94,921.36
  5. Step 5: Solve for x
    x = 94,921.36/275.95
  6. Step 6: Final answer
    x = 343.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.