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Finding the Fourth Proportional to 316.69, 475.10 and 97.33

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Solution

The fourth proportional to 316.69, 475.10 and 97.33 is: 146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.69 : 475.10 = 97.33 : x
  2. Step 2: Convert to fraction form
    316.69/475.10 = 97.33/x
  3. Step 3: Cross multiply
    316.69x = 475.10 × 97.33
  4. Step 4: Simplify right side
    316.69x = 46,241.48
  5. Step 5: Solve for x
    x = 46,241.48/316.69
  6. Step 6: Final answer
    x = 146.01

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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.