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Finding the Fourth Proportional to 207.90, 287.01 and 145.94

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Solution

The fourth proportional to 207.90, 287.01 and 145.94 is: 201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.90 : 287.01 = 145.94 : x
  2. Step 2: Convert to fraction form
    207.90/287.01 = 145.94/x
  3. Step 3: Cross multiply
    207.90x = 287.01 × 145.94
  4. Step 4: Simplify right side
    207.90x = 41,884.80
  5. Step 5: Solve for x
    x = 41,884.80/207.90
  6. Step 6: Final answer
    x = 201.47

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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.