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Finding the Fourth Proportional to 211.76, 292.22 and 148.83

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Solution

The fourth proportional to 211.76, 292.22 and 148.83 is: 205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.76 : 292.22 = 148.83 : x
  2. Step 2: Convert to fraction form
    211.76/292.22 = 148.83/x
  3. Step 3: Cross multiply
    211.76x = 292.22 × 148.83
  4. Step 4: Simplify right side
    211.76x = 43,491.10
  5. Step 5: Solve for x
    x = 43,491.10/211.76
  6. Step 6: Final answer
    x = 205.38

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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.