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Finding the Fourth Proportional to 206.76, 310.04 and 104.03

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Solution

The fourth proportional to 206.76, 310.04 and 104.03 is: 155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.76 : 310.04 = 104.03 : x
  2. Step 2: Convert to fraction form
    206.76/310.04 = 104.03/x
  3. Step 3: Cross multiply
    206.76x = 310.04 × 104.03
  4. Step 4: Simplify right side
    206.76x = 32,253.46
  5. Step 5: Solve for x
    x = 32,253.46/206.76
  6. Step 6: Final answer
    x = 155.99

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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.