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Finding the Fourth Proportional to 211.77, 292.48 and 183.02

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Solution

The fourth proportional to 211.77, 292.48 and 183.02 is: 252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.77 : 292.48 = 183.02 : x
  2. Step 2: Convert to fraction form
    211.77/292.48 = 183.02/x
  3. Step 3: Cross multiply
    211.77x = 292.48 × 183.02
  4. Step 4: Simplify right side
    211.77x = 53,527.77
  5. Step 5: Solve for x
    x = 53,527.77/211.77
  6. Step 6: Final answer
    x = 252.76

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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.