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Finding the Fourth Proportional to 384.30, 576.68 and 164.92

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Solution

The fourth proportional to 384.30, 576.68 and 164.92 is: 247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 576.68 = 164.92 : x
  2. Step 2: Convert to fraction form
    384.30/576.68 = 164.92/x
  3. Step 3: Cross multiply
    384.30x = 576.68 × 164.92
  4. Step 4: Simplify right side
    384.30x = 95,106.07
  5. Step 5: Solve for x
    x = 95,106.07/384.30
  6. Step 6: Final answer
    x = 247.48

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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.