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Finding the Fourth Proportional to 275.29, 379.54 and 216.16

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Solution

The fourth proportional to 275.29, 379.54 and 216.16 is: 298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.29 : 379.54 = 216.16 : x
  2. Step 2: Convert to fraction form
    275.29/379.54 = 216.16/x
  3. Step 3: Cross multiply
    275.29x = 379.54 × 216.16
  4. Step 4: Simplify right side
    275.29x = 82,041.37
  5. Step 5: Solve for x
    x = 82,041.37/275.29
  6. Step 6: Final answer
    x = 298.02

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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.