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Finding the Fourth Proportional to 275.63, 415.31 and 246.16

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Solution

The fourth proportional to 275.63, 415.31 and 246.16 is: 370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.63 : 415.31 = 246.16 : x
  2. Step 2: Convert to fraction form
    275.63/415.31 = 246.16/x
  3. Step 3: Cross multiply
    275.63x = 415.31 × 246.16
  4. Step 4: Simplify right side
    275.63x = 102,232.71
  5. Step 5: Solve for x
    x = 102,232.71/275.63
  6. Step 6: Final answer
    x = 370.91

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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.