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Finding the Fourth Proportional to 357.09, 535.02 and 194.28

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Solution

The fourth proportional to 357.09, 535.02 and 194.28 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.09 : 535.02 = 194.28 : x
  2. Step 2: Convert to fraction form
    357.09/535.02 = 194.28/x
  3. Step 3: Cross multiply
    357.09x = 535.02 × 194.28
  4. Step 4: Simplify right side
    357.09x = 103,943.69
  5. Step 5: Solve for x
    x = 103,943.69/357.09
  6. Step 6: Final answer
    x = 291.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.