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Finding the Fourth Proportional to 392.84, 589.90 and 165

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Solution

The fourth proportional to 392.84, 589.90 and 165 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 589.90 = 165 : x
  2. Step 2: Convert to fraction form
    392.84/589.90 = 165/x
  3. Step 3: Cross multiply
    392.84x = 589.90 × 165
  4. Step 4: Simplify right side
    392.84x = 97,333.50
  5. Step 5: Solve for x
    x = 97,333.50/392.84
  6. Step 6: Final answer
    x = 247.77

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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.