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Finding the Fourth Proportional to 208.63, 312.69 and 117.37

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Solution

The fourth proportional to 208.63, 312.69 and 117.37 is: 175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.63 : 312.69 = 117.37 : x
  2. Step 2: Convert to fraction form
    208.63/312.69 = 117.37/x
  3. Step 3: Cross multiply
    208.63x = 312.69 × 117.37
  4. Step 4: Simplify right side
    208.63x = 36,698.86
  5. Step 5: Solve for x
    x = 36,698.86/208.63
  6. Step 6: Final answer
    x = 175.91

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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.