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Finding the Fourth Proportional to 207.40, 286.12 and 145.24

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Solution

The fourth proportional to 207.40, 286.12 and 145.24 is: 200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 286.12 = 145.24 : x
  2. Step 2: Convert to fraction form
    207.40/286.12 = 145.24/x
  3. Step 3: Cross multiply
    207.40x = 286.12 × 145.24
  4. Step 4: Simplify right side
    207.40x = 41,556.07
  5. Step 5: Solve for x
    x = 41,556.07/207.40
  6. Step 6: Final answer
    x = 200.37

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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.