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Finding the Fourth Proportional to 622.93, 934.33 and 160.70

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Solution

The fourth proportional to 622.93, 934.33 and 160.70 is: 241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.93 : 934.33 = 160.70 : x
  2. Step 2: Convert to fraction form
    622.93/934.33 = 160.70/x
  3. Step 3: Cross multiply
    622.93x = 934.33 × 160.70
  4. Step 4: Simplify right side
    622.93x = 150,142.16
  5. Step 5: Solve for x
    x = 150,142.16/622.93
  6. Step 6: Final answer
    x = 241.03

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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.