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Finding the Fourth Proportional to 247.41, 370.98 and 117.34

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Solution

The fourth proportional to 247.41, 370.98 and 117.34 is: 175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.41 : 370.98 = 117.34 : x
  2. Step 2: Convert to fraction form
    247.41/370.98 = 117.34/x
  3. Step 3: Cross multiply
    247.41x = 370.98 × 117.34
  4. Step 4: Simplify right side
    247.41x = 43,529.87
  5. Step 5: Solve for x
    x = 43,529.87/247.41
  6. Step 6: Final answer
    x = 175.94

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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.