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Finding the Fourth Proportional to 312.58, 468.93 and 120.19

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Solution

The fourth proportional to 312.58, 468.93 and 120.19 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 468.93 = 120.19 : x
  2. Step 2: Convert to fraction form
    312.58/468.93 = 120.19/x
  3. Step 3: Cross multiply
    312.58x = 468.93 × 120.19
  4. Step 4: Simplify right side
    312.58x = 56,360.10
  5. Step 5: Solve for x
    x = 56,360.10/312.58
  6. Step 6: Final answer
    x = 180.31

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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.