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Finding the Fourth Proportional to 276.35, 412.23 and 230.18

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Solution

The fourth proportional to 276.35, 412.23 and 230.18 is: 343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.35 : 412.23 = 230.18 : x
  2. Step 2: Convert to fraction form
    276.35/412.23 = 230.18/x
  3. Step 3: Cross multiply
    276.35x = 412.23 × 230.18
  4. Step 4: Simplify right side
    276.35x = 94,885.26
  5. Step 5: Solve for x
    x = 94,885.26/276.35
  6. Step 6: Final answer
    x = 343.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.