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Finding the Fourth Proportional to 298.66, 412.13 and 165.87

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Solution

The fourth proportional to 298.66, 412.13 and 165.87 is: 228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.66 : 412.13 = 165.87 : x
  2. Step 2: Convert to fraction form
    298.66/412.13 = 165.87/x
  3. Step 3: Cross multiply
    298.66x = 412.13 × 165.87
  4. Step 4: Simplify right side
    298.66x = 68,362.27
  5. Step 5: Solve for x
    x = 68,362.27/298.66
  6. Step 6: Final answer
    x = 228.90

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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.