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Finding the Fourth Proportional to 293.16, 402.60 and 251.70

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Solution

The fourth proportional to 293.16, 402.60 and 251.70 is: 345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 402.60 = 251.70 : x
  2. Step 2: Convert to fraction form
    293.16/402.60 = 251.70/x
  3. Step 3: Cross multiply
    293.16x = 402.60 × 251.70
  4. Step 4: Simplify right side
    293.16x = 101,334.42
  5. Step 5: Solve for x
    x = 101,334.42/293.16
  6. Step 6: Final answer
    x = 345.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.