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Finding the Fourth Proportional to 211, 316.50 and 97

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Solution

The fourth proportional to 211, 316.50 and 97 is: 145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211 : 316.50 = 97 : x
  2. Step 2: Convert to fraction form
    211/316.50 = 97/x
  3. Step 3: Cross multiply
    211x = 316.50 × 97
  4. Step 4: Simplify right side
    211x = 30,700.50
  5. Step 5: Solve for x
    x = 30,700.50/211
  6. Step 6: Final answer
    x = 145.50

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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.