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Finding the Fourth Proportional to 215.07, 296.73 and 145.14

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Solution

The fourth proportional to 215.07, 296.73 and 145.14 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.07 : 296.73 = 145.14 : x
  2. Step 2: Convert to fraction form
    215.07/296.73 = 145.14/x
  3. Step 3: Cross multiply
    215.07x = 296.73 × 145.14
  4. Step 4: Simplify right side
    215.07x = 43,067.39
  5. Step 5: Solve for x
    x = 43,067.39/215.07
  6. Step 6: Final answer
    x = 200.25

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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.