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Finding the Fourth Proportional to 298.64, 412.10 and 165.87

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Solution

The fourth proportional to 298.64, 412.10 and 165.87 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 412.10 = 165.87 : x
  2. Step 2: Convert to fraction form
    298.64/412.10 = 165.87/x
  3. Step 3: Cross multiply
    298.64x = 412.10 × 165.87
  4. Step 4: Simplify right side
    298.64x = 68,354.20
  5. Step 5: Solve for x
    x = 68,354.20/298.64
  6. Step 6: Final answer
    x = 228.88

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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.