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Finding the Fourth Proportional to 211.77, 292.23 and 133.07

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Solution

The fourth proportional to 211.77, 292.23 and 133.07 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.77 : 292.23 = 133.07 : x
  2. Step 2: Convert to fraction form
    211.77/292.23 = 133.07/x
  3. Step 3: Cross multiply
    211.77x = 292.23 × 133.07
  4. Step 4: Simplify right side
    211.77x = 38,885.58
  5. Step 5: Solve for x
    x = 38,885.58/211.77
  6. Step 6: Final answer
    x = 183.62

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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.