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Finding the Fourth Proportional to 202.24, 304.78 and 190.08

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Solution

The fourth proportional to 202.24, 304.78 and 190.08 is: 286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 304.78 = 190.08 : x
  2. Step 2: Convert to fraction form
    202.24/304.78 = 190.08/x
  3. Step 3: Cross multiply
    202.24x = 304.78 × 190.08
  4. Step 4: Simplify right side
    202.24x = 57,932.58
  5. Step 5: Solve for x
    x = 57,932.58/202.24
  6. Step 6: Final answer
    x = 286.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.