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Finding the Fourth Proportional to 211, 291.16 and 116.47

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Solution

The fourth proportional to 211, 291.16 and 116.47 is: 160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211 : 291.16 = 116.47 : x
  2. Step 2: Convert to fraction form
    211/291.16 = 116.47/x
  3. Step 3: Cross multiply
    211x = 291.16 × 116.47
  4. Step 4: Simplify right side
    211x = 33,911.41
  5. Step 5: Solve for x
    x = 33,911.41/211
  6. Step 6: Final answer
    x = 160.72

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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.