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Finding the Fourth Proportional to 208.99, 287.93 and 138.92

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Solution

The fourth proportional to 208.99, 287.93 and 138.92 is: 191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.99 : 287.93 = 138.92 : x
  2. Step 2: Convert to fraction form
    208.99/287.93 = 138.92/x
  3. Step 3: Cross multiply
    208.99x = 287.93 × 138.92
  4. Step 4: Simplify right side
    208.99x = 39,999.24
  5. Step 5: Solve for x
    x = 39,999.24/208.99
  6. Step 6: Final answer
    x = 191.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.