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Finding the Fourth Proportional to 211.69, 291.98 and 137.00

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Solution

The fourth proportional to 211.69, 291.98 and 137.00 is: 188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.69 : 291.98 = 137.00 : x
  2. Step 2: Convert to fraction form
    211.69/291.98 = 137.00/x
  3. Step 3: Cross multiply
    211.69x = 291.98 × 137.00
  4. Step 4: Simplify right side
    211.69x = 40,002.33
  5. Step 5: Solve for x
    x = 40,002.33/211.69
  6. Step 6: Final answer
    x = 188.97

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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.