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Finding the Fourth Proportional to 312.69, 469.04 and 96.27

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Solution

The fourth proportional to 312.69, 469.04 and 96.27 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.69 : 469.04 = 96.27 : x
  2. Step 2: Convert to fraction form
    312.69/469.04 = 96.27/x
  3. Step 3: Cross multiply
    312.69x = 469.04 × 96.27
  4. Step 4: Simplify right side
    312.69x = 45,154.00
  5. Step 5: Solve for x
    x = 45,154.00/312.69
  6. Step 6: Final answer
    x = 144.41

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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.