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Finding the Fourth Proportional to 312.70, 468.96 and 120.28

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Solution

The fourth proportional to 312.70, 468.96 and 120.28 is: 180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.70 : 468.96 = 120.28 : x
  2. Step 2: Convert to fraction form
    312.70/468.96 = 120.28/x
  3. Step 3: Cross multiply
    312.70x = 468.96 × 120.28
  4. Step 4: Simplify right side
    312.70x = 56,406.51
  5. Step 5: Solve for x
    x = 56,406.51/312.70
  6. Step 6: Final answer
    x = 180.39

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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.