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Finding the Fourth Proportional to 208.49, 287.73 and 120.00

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Solution

The fourth proportional to 208.49, 287.73 and 120.00 is: 165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 287.73 = 120.00 : x
  2. Step 2: Convert to fraction form
    208.49/287.73 = 120.00/x
  3. Step 3: Cross multiply
    208.49x = 287.73 × 120.00
  4. Step 4: Simplify right side
    208.49x = 34,526.28
  5. Step 5: Solve for x
    x = 34,526.28/208.49
  6. Step 6: Final answer
    x = 165.60

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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.