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Finding the Fourth Proportional to 247, 370.14 and 138.64

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Solution

The fourth proportional to 247, 370.14 and 138.64 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    247 : 370.14 = 138.64 : x
  2. Step 2: Convert to fraction form
    247/370.14 = 138.64/x
  3. Step 3: Cross multiply
    247x = 370.14 × 138.64
  4. Step 4: Simplify right side
    247x = 51,316.21
  5. Step 5: Solve for x
    x = 51,316.21/247
  6. Step 6: Final answer
    x = 207.76

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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.