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Finding the Fourth Proportional to 207.95, 287.00 and 120.60

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Solution

The fourth proportional to 207.95, 287.00 and 120.60 is: 166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.95 : 287.00 = 120.60 : x
  2. Step 2: Convert to fraction form
    207.95/287.00 = 120.60/x
  3. Step 3: Cross multiply
    207.95x = 287.00 × 120.60
  4. Step 4: Simplify right side
    207.95x = 34,611.60
  5. Step 5: Solve for x
    x = 34,611.60/207.95
  6. Step 6: Final answer
    x = 166.45

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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.