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Finding the Fourth Proportional to 298.57, 412.02 and 165.80

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Solution

The fourth proportional to 298.57, 412.02 and 165.80 is: 228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.57 : 412.02 = 165.80 : x
  2. Step 2: Convert to fraction form
    298.57/412.02 = 165.80/x
  3. Step 3: Cross multiply
    298.57x = 412.02 × 165.80
  4. Step 4: Simplify right side
    298.57x = 68,312.92
  5. Step 5: Solve for x
    x = 68,312.92/298.57
  6. Step 6: Final answer
    x = 228.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.