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Finding the Fourth Proportional to 276.20, 414.90 and 236.10

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Solution

The fourth proportional to 276.20, 414.90 and 236.10 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.20 : 414.90 = 236.10 : x
  2. Step 2: Convert to fraction form
    276.20/414.90 = 236.10/x
  3. Step 3: Cross multiply
    276.20x = 414.90 × 236.10
  4. Step 4: Simplify right side
    276.20x = 97,957.89
  5. Step 5: Solve for x
    x = 97,957.89/276.20
  6. Step 6: Final answer
    x = 354.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.