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Finding the Fourth Proportional to 316.69, 475.02 and 97.31

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Solution

The fourth proportional to 316.69, 475.02 and 97.31 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.69 : 475.02 = 97.31 : x
  2. Step 2: Convert to fraction form
    316.69/475.02 = 97.31/x
  3. Step 3: Cross multiply
    316.69x = 475.02 × 97.31
  4. Step 4: Simplify right side
    316.69x = 46,225.38
  5. Step 5: Solve for x
    x = 46,225.38/316.69
  6. Step 6: Final answer
    x = 145.97

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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.