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Finding the Fourth Proportional to 312.60, 468.95 and 96.21

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Solution

The fourth proportional to 312.60, 468.95 and 96.21 is: 144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.60 : 468.95 = 96.21 : x
  2. Step 2: Convert to fraction form
    312.60/468.95 = 96.21/x
  3. Step 3: Cross multiply
    312.60x = 468.95 × 96.21
  4. Step 4: Simplify right side
    312.60x = 45,117.68
  5. Step 5: Solve for x
    x = 45,117.68/312.60
  6. Step 6: Final answer
    x = 144.33

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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.