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Finding the Fourth Proportional to 276.19, 416.21 and 236.14

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Solution

The fourth proportional to 276.19, 416.21 and 236.14 is: 355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.19 : 416.21 = 236.14 : x
  2. Step 2: Convert to fraction form
    276.19/416.21 = 236.14/x
  3. Step 3: Cross multiply
    276.19x = 416.21 × 236.14
  4. Step 4: Simplify right side
    276.19x = 98,283.83
  5. Step 5: Solve for x
    x = 98,283.83/276.19
  6. Step 6: Final answer
    x = 355.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.