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Finding the Fourth Proportional to 208.81, 312.93 and 117.43

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Solution

The fourth proportional to 208.81, 312.93 and 117.43 is: 175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.81 : 312.93 = 117.43 : x
  2. Step 2: Convert to fraction form
    208.81/312.93 = 117.43/x
  3. Step 3: Cross multiply
    208.81x = 312.93 × 117.43
  4. Step 4: Simplify right side
    208.81x = 36,747.37
  5. Step 5: Solve for x
    x = 36,747.37/208.81
  6. Step 6: Final answer
    x = 175.98

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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.