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Finding the Fourth Proportional to 335.04, 501.94 and 197.68

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Solution

The fourth proportional to 335.04, 501.94 and 197.68 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.04 : 501.94 = 197.68 : x
  2. Step 2: Convert to fraction form
    335.04/501.94 = 197.68/x
  3. Step 3: Cross multiply
    335.04x = 501.94 × 197.68
  4. Step 4: Simplify right side
    335.04x = 99,222.38
  5. Step 5: Solve for x
    x = 99,222.38/335.04
  6. Step 6: Final answer
    x = 296.15

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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.