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Finding the Fourth Proportional to 312.71, 469.14 and 96.29

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Solution

The fourth proportional to 312.71, 469.14 and 96.29 is: 144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 469.14 = 96.29 : x
  2. Step 2: Convert to fraction form
    312.71/469.14 = 96.29/x
  3. Step 3: Cross multiply
    312.71x = 469.14 × 96.29
  4. Step 4: Simplify right side
    312.71x = 45,173.08
  5. Step 5: Solve for x
    x = 45,173.08/312.71
  6. Step 6: Final answer
    x = 144.46

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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.