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Finding the Fourth Proportional to 211.19, 291.45 and 137.69

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Solution

The fourth proportional to 211.19, 291.45 and 137.69 is: 190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.19 : 291.45 = 137.69 : x
  2. Step 2: Convert to fraction form
    211.19/291.45 = 137.69/x
  3. Step 3: Cross multiply
    211.19x = 291.45 × 137.69
  4. Step 4: Simplify right side
    211.19x = 40,128.29
  5. Step 5: Solve for x
    x = 40,128.29/211.19
  6. Step 6: Final answer
    x = 190.01

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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.