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Finding the Fourth Proportional to 211.63, 292.17 and 148.71

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Solution

The fourth proportional to 211.63, 292.17 and 148.71 is: 205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.63 : 292.17 = 148.71 : x
  2. Step 2: Convert to fraction form
    211.63/292.17 = 148.71/x
  3. Step 3: Cross multiply
    211.63x = 292.17 × 148.71
  4. Step 4: Simplify right side
    211.63x = 43,448.60
  5. Step 5: Solve for x
    x = 43,448.60/211.63
  6. Step 6: Final answer
    x = 205.30

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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.