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Finding the Fourth Proportional to 314.37, 471.64 and 97.96

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Solution

The fourth proportional to 314.37, 471.64 and 97.96 is: 146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.37 : 471.64 = 97.96 : x
  2. Step 2: Convert to fraction form
    314.37/471.64 = 97.96/x
  3. Step 3: Cross multiply
    314.37x = 471.64 × 97.96
  4. Step 4: Simplify right side
    314.37x = 46,201.61
  5. Step 5: Solve for x
    x = 46,201.61/314.37
  6. Step 6: Final answer
    x = 146.97

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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.