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Finding the Fourth Proportional to 384.51, 576.71 and 165.09

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Solution

The fourth proportional to 384.51, 576.71 and 165.09 is: 247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.51 : 576.71 = 165.09 : x
  2. Step 2: Convert to fraction form
    384.51/576.71 = 165.09/x
  3. Step 3: Cross multiply
    384.51x = 576.71 × 165.09
  4. Step 4: Simplify right side
    384.51x = 95,207.53
  5. Step 5: Solve for x
    x = 95,207.53/384.51
  6. Step 6: Final answer
    x = 247.61

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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.