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Finding the Fourth Proportional to 276, 379.80 and 210.24

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Solution

The fourth proportional to 276, 379.80 and 210.24 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276 : 379.80 = 210.24 : x
  2. Step 2: Convert to fraction form
    276/379.80 = 210.24/x
  3. Step 3: Cross multiply
    276x = 379.80 × 210.24
  4. Step 4: Simplify right side
    276x = 79,849.15
  5. Step 5: Solve for x
    x = 79,849.15/276
  6. Step 6: Final answer
    x = 289.31

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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.