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Finding the Fourth Proportional to 392.06, 588.23 and 160.89

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Solution

The fourth proportional to 392.06, 588.23 and 160.89 is: 241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 588.23 = 160.89 : x
  2. Step 2: Convert to fraction form
    392.06/588.23 = 160.89/x
  3. Step 3: Cross multiply
    392.06x = 588.23 × 160.89
  4. Step 4: Simplify right side
    392.06x = 94,637.89
  5. Step 5: Solve for x
    x = 94,637.89/392.06
  6. Step 6: Final answer
    x = 241.39

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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.