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Finding the Fourth Proportional to 211.66, 292.24 and 133

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Solution

The fourth proportional to 211.66, 292.24 and 133 is: 183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.66 : 292.24 = 133 : x
  2. Step 2: Convert to fraction form
    211.66/292.24 = 133/x
  3. Step 3: Cross multiply
    211.66x = 292.24 × 133
  4. Step 4: Simplify right side
    211.66x = 38,867.92
  5. Step 5: Solve for x
    x = 38,867.92/211.66
  6. Step 6: Final answer
    x = 183.63

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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.