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Finding the Fourth Proportional to 211.37, 316.68 and 150.39

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Solution

The fourth proportional to 211.37, 316.68 and 150.39 is: 225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.37 : 316.68 = 150.39 : x
  2. Step 2: Convert to fraction form
    211.37/316.68 = 150.39/x
  3. Step 3: Cross multiply
    211.37x = 316.68 × 150.39
  4. Step 4: Simplify right side
    211.37x = 47,625.51
  5. Step 5: Solve for x
    x = 47,625.51/211.37
  6. Step 6: Final answer
    x = 225.32

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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.