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Finding the Fourth Proportional to 275.02, 379.14 and 216.70

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Solution

The fourth proportional to 275.02, 379.14 and 216.70 is: 298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.02 : 379.14 = 216.70 : x
  2. Step 2: Convert to fraction form
    275.02/379.14 = 216.70/x
  3. Step 3: Cross multiply
    275.02x = 379.14 × 216.70
  4. Step 4: Simplify right side
    275.02x = 82,159.64
  5. Step 5: Solve for x
    x = 82,159.64/275.02
  6. Step 6: Final answer
    x = 298.74

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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.