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Finding the Fourth Proportional to 275.16, 377.16 and 265.44

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Solution

The fourth proportional to 275.16, 377.16 and 265.44 is: 363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.16 : 377.16 = 265.44 : x
  2. Step 2: Convert to fraction form
    275.16/377.16 = 265.44/x
  3. Step 3: Cross multiply
    275.16x = 377.16 × 265.44
  4. Step 4: Simplify right side
    275.16x = 100,113.35
  5. Step 5: Solve for x
    x = 100,113.35/275.16
  6. Step 6: Final answer
    x = 363.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.