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Finding the Fourth Proportional to 211.23, 291.17 and 148.96

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Solution

The fourth proportional to 211.23, 291.17 and 148.96 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.23 : 291.17 = 148.96 : x
  2. Step 2: Convert to fraction form
    211.23/291.17 = 148.96/x
  3. Step 3: Cross multiply
    211.23x = 291.17 × 148.96
  4. Step 4: Simplify right side
    211.23x = 43,373.13
  5. Step 5: Solve for x
    x = 43,373.13/211.23
  6. Step 6: Final answer
    x = 205.33

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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.