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Finding the Fourth Proportional to 312.58, 468.96 and 120.34

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Solution

The fourth proportional to 312.58, 468.96 and 120.34 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 468.96 = 120.34 : x
  2. Step 2: Convert to fraction form
    312.58/468.96 = 120.34/x
  3. Step 3: Cross multiply
    312.58x = 468.96 × 120.34
  4. Step 4: Simplify right side
    312.58x = 56,434.65
  5. Step 5: Solve for x
    x = 56,434.65/312.58
  6. Step 6: Final answer
    x = 180.54

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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.