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Finding the Fourth Proportional to 211.23, 291.47 and 117.98

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Solution

The fourth proportional to 211.23, 291.47 and 117.98 is: 162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.23 : 291.47 = 117.98 : x
  2. Step 2: Convert to fraction form
    211.23/291.47 = 117.98/x
  3. Step 3: Cross multiply
    211.23x = 291.47 × 117.98
  4. Step 4: Simplify right side
    211.23x = 34,385.58
  5. Step 5: Solve for x
    x = 34,385.58/211.23
  6. Step 6: Final answer
    x = 162.79

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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.