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Finding the Fourth Proportional to 312.50, 468.69 and 107.06

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Solution

The fourth proportional to 312.50, 468.69 and 107.06 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 468.69 = 107.06 : x
  2. Step 2: Convert to fraction form
    312.50/468.69 = 107.06/x
  3. Step 3: Cross multiply
    312.50x = 468.69 × 107.06
  4. Step 4: Simplify right side
    312.50x = 50,178.72
  5. Step 5: Solve for x
    x = 50,178.72/312.50
  6. Step 6: Final answer
    x = 160.57

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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.