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Finding the Fourth Proportional to 576.03, 864.01 and 165.19

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Solution

The fourth proportional to 576.03, 864.01 and 165.19 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.03 : 864.01 = 165.19 : x
  2. Step 2: Convert to fraction form
    576.03/864.01 = 165.19/x
  3. Step 3: Cross multiply
    576.03x = 864.01 × 165.19
  4. Step 4: Simplify right side
    576.03x = 142,725.81
  5. Step 5: Solve for x
    x = 142,725.81/576.03
  6. Step 6: Final answer
    x = 247.77

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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.