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Finding the Fourth Proportional to 312.65, 469.07 and 96.23

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Solution

The fourth proportional to 312.65, 469.07 and 96.23 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.65 : 469.07 = 96.23 : x
  2. Step 2: Convert to fraction form
    312.65/469.07 = 96.23/x
  3. Step 3: Cross multiply
    312.65x = 469.07 × 96.23
  4. Step 4: Simplify right side
    312.65x = 45,135.78
  5. Step 5: Solve for x
    x = 45,135.78/312.65
  6. Step 6: Final answer
    x = 144.37

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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.