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Finding the Fourth Proportional to 211.56, 291.75 and 180.58

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Solution

The fourth proportional to 211.56, 291.75 and 180.58 is: 249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.56 : 291.75 = 180.58 : x
  2. Step 2: Convert to fraction form
    211.56/291.75 = 180.58/x
  3. Step 3: Cross multiply
    211.56x = 291.75 × 180.58
  4. Step 4: Simplify right side
    211.56x = 52,684.37
  5. Step 5: Solve for x
    x = 52,684.37/211.56
  6. Step 6: Final answer
    x = 249.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.