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Finding the Fourth Proportional to 211.68, 316.96 and 177.24

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Solution

The fourth proportional to 211.68, 316.96 and 177.24 is: 265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.68 : 316.96 = 177.24 : x
  2. Step 2: Convert to fraction form
    211.68/316.96 = 177.24/x
  3. Step 3: Cross multiply
    211.68x = 316.96 × 177.24
  4. Step 4: Simplify right side
    211.68x = 56,177.99
  5. Step 5: Solve for x
    x = 56,177.99/211.68
  6. Step 6: Final answer
    x = 265.39

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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.