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Finding the Fourth Proportional to 208.52, 312.82 and 123

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Solution

The fourth proportional to 208.52, 312.82 and 123 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 312.82 = 123 : x
  2. Step 2: Convert to fraction form
    208.52/312.82 = 123/x
  3. Step 3: Cross multiply
    208.52x = 312.82 × 123
  4. Step 4: Simplify right side
    208.52x = 38,476.86
  5. Step 5: Solve for x
    x = 38,476.86/208.52
  6. Step 6: Final answer
    x = 184.52

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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.