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Finding the Fourth Proportional to 627.60, 941.54 and 188.87

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Solution

The fourth proportional to 627.60, 941.54 and 188.87 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.60 : 941.54 = 188.87 : x
  2. Step 2: Convert to fraction form
    627.60/941.54 = 188.87/x
  3. Step 3: Cross multiply
    627.60x = 941.54 × 188.87
  4. Step 4: Simplify right side
    627.60x = 177,823.01
  5. Step 5: Solve for x
    x = 177,823.01/627.60
  6. Step 6: Final answer
    x = 283.34

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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.