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Finding the Fourth Proportional to 627.50, 941.25 and 171.50

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Solution

The fourth proportional to 627.50, 941.25 and 171.50 is: 257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 941.25 = 171.50 : x
  2. Step 2: Convert to fraction form
    627.50/941.25 = 171.50/x
  3. Step 3: Cross multiply
    627.50x = 941.25 × 171.50
  4. Step 4: Simplify right side
    627.50x = 161,424.38
  5. Step 5: Solve for x
    x = 161,424.38/627.50
  6. Step 6: Final answer
    x = 257.25

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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.