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Finding the Fourth Proportional to 211.33, 316.61 and 177.31

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Solution

The fourth proportional to 211.33, 316.61 and 177.31 is: 265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.33 : 316.61 = 177.31 : x
  2. Step 2: Convert to fraction form
    211.33/316.61 = 177.31/x
  3. Step 3: Cross multiply
    211.33x = 316.61 × 177.31
  4. Step 4: Simplify right side
    211.33x = 56,135.65
  5. Step 5: Solve for x
    x = 56,135.65/211.33
  6. Step 6: Final answer
    x = 265.64

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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.