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Finding the Fourth Proportional to 247.08, 370.70 and 102.84

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Solution

The fourth proportional to 247.08, 370.70 and 102.84 is: 154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.08 : 370.70 = 102.84 : x
  2. Step 2: Convert to fraction form
    247.08/370.70 = 102.84/x
  3. Step 3: Cross multiply
    247.08x = 370.70 × 102.84
  4. Step 4: Simplify right side
    247.08x = 38,122.79
  5. Step 5: Solve for x
    x = 38,122.79/247.08
  6. Step 6: Final answer
    x = 154.29

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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.