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Finding the Fourth Proportional to 312.63, 468.52 and 120.15

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Solution

The fourth proportional to 312.63, 468.52 and 120.15 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.63 : 468.52 = 120.15 : x
  2. Step 2: Convert to fraction form
    312.63/468.52 = 120.15/x
  3. Step 3: Cross multiply
    312.63x = 468.52 × 120.15
  4. Step 4: Simplify right side
    312.63x = 56,292.68
  5. Step 5: Solve for x
    x = 56,292.68/312.63
  6. Step 6: Final answer
    x = 180.06

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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.