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Finding the Fourth Proportional to 312.51, 468.57 and 120.09

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Solution

The fourth proportional to 312.51, 468.57 and 120.09 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 468.57 = 120.09 : x
  2. Step 2: Convert to fraction form
    312.51/468.57 = 120.09/x
  3. Step 3: Cross multiply
    312.51x = 468.57 × 120.09
  4. Step 4: Simplify right side
    312.51x = 56,270.57
  5. Step 5: Solve for x
    x = 56,270.57/312.51
  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.