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Finding the Fourth Proportional to 211.91, 292.23 and 133.20

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Solution

The fourth proportional to 211.91, 292.23 and 133.20 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.91 : 292.23 = 133.20 : x
  2. Step 2: Convert to fraction form
    211.91/292.23 = 133.20/x
  3. Step 3: Cross multiply
    211.91x = 292.23 × 133.20
  4. Step 4: Simplify right side
    211.91x = 38,925.04
  5. Step 5: Solve for x
    x = 38,925.04/211.91
  6. Step 6: Final answer
    x = 183.69

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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.