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Finding the Fourth Proportional to 410.21, 615.41 and 136.43

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Solution

The fourth proportional to 410.21, 615.41 and 136.43 is: 204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.21 : 615.41 = 136.43 : x
  2. Step 2: Convert to fraction form
    410.21/615.41 = 136.43/x
  3. Step 3: Cross multiply
    410.21x = 615.41 × 136.43
  4. Step 4: Simplify right side
    410.21x = 83,957.65
  5. Step 5: Solve for x
    x = 83,957.65/410.21
  6. Step 6: Final answer
    x = 204.67

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