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Finding the Fourth Proportional to 312.85, 431.76 and 173.00

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Solution

The fourth proportional to 312.85, 431.76 and 173.00 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.85 : 431.76 = 173.00 : x
  2. Step 2: Convert to fraction form
    312.85/431.76 = 173.00/x
  3. Step 3: Cross multiply
    312.85x = 431.76 × 173.00
  4. Step 4: Simplify right side
    312.85x = 74,692.32
  5. Step 5: Solve for x
    x = 74,692.32/312.85
  6. Step 6: Final answer
    x = 238.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.