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Finding the Fourth Proportional to 292.28, 402.70 and 188.60

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Solution

The fourth proportional to 292.28, 402.70 and 188.60 is: 259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.28 : 402.70 = 188.60 : x
  2. Step 2: Convert to fraction form
    292.28/402.70 = 188.60/x
  3. Step 3: Cross multiply
    292.28x = 402.70 × 188.60
  4. Step 4: Simplify right side
    292.28x = 75,949.22
  5. Step 5: Solve for x
    x = 75,949.22/292.28
  6. Step 6: Final answer
    x = 259.85

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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.