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Finding the Fourth Proportional to 208.85, 312.93 and 117.27

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Solution

The fourth proportional to 208.85, 312.93 and 117.27 is: 175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 312.93 = 117.27 : x
  2. Step 2: Convert to fraction form
    208.85/312.93 = 117.27/x
  3. Step 3: Cross multiply
    208.85x = 312.93 × 117.27
  4. Step 4: Simplify right side
    208.85x = 36,697.30
  5. Step 5: Solve for x
    x = 36,697.30/208.85
  6. Step 6: Final answer
    x = 175.72

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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.