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Finding the Fourth Proportional to 211.01, 291.40 and 137.30

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Solution

The fourth proportional to 211.01, 291.40 and 137.30 is: 189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.01 : 291.40 = 137.30 : x
  2. Step 2: Convert to fraction form
    211.01/291.40 = 137.30/x
  3. Step 3: Cross multiply
    211.01x = 291.40 × 137.30
  4. Step 4: Simplify right side
    211.01x = 40,007.42
  5. Step 5: Solve for x
    x = 40,007.42/211.01
  6. Step 6: Final answer
    x = 189.60

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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.