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Finding the Fourth Proportional to 627.65, 941.48 and 165.40

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Solution

The fourth proportional to 627.65, 941.48 and 165.40 is: 248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.65 : 941.48 = 165.40 : x
  2. Step 2: Convert to fraction form
    627.65/941.48 = 165.40/x
  3. Step 3: Cross multiply
    627.65x = 941.48 × 165.40
  4. Step 4: Simplify right side
    627.65x = 155,720.79
  5. Step 5: Solve for x
    x = 155,720.79/627.65
  6. Step 6: Final answer
    x = 248.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.