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Finding the Fourth Proportional to 208.69, 312.55 and 117.20

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Solution

The fourth proportional to 208.69, 312.55 and 117.20 is: 175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 312.55 = 117.20 : x
  2. Step 2: Convert to fraction form
    208.69/312.55 = 117.20/x
  3. Step 3: Cross multiply
    208.69x = 312.55 × 117.20
  4. Step 4: Simplify right side
    208.69x = 36,630.86
  5. Step 5: Solve for x
    x = 36,630.86/208.69
  6. Step 6: Final answer
    x = 175.53

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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.