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Finding the Fourth Proportional to 627.68, 941.45 and 165.50

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Solution

The fourth proportional to 627.68, 941.45 and 165.50 is: 248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.68 : 941.45 = 165.50 : x
  2. Step 2: Convert to fraction form
    627.68/941.45 = 165.50/x
  3. Step 3: Cross multiply
    627.68x = 941.45 × 165.50
  4. Step 4: Simplify right side
    627.68x = 155,808.17
  5. Step 5: Solve for x
    x = 155,808.17/627.68
  6. Step 6: Final answer
    x = 248.23

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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.