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Finding the Fourth Proportional to 211.84, 292.42 and 128.97

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Solution

The fourth proportional to 211.84, 292.42 and 128.97 is: 178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.84 : 292.42 = 128.97 : x
  2. Step 2: Convert to fraction form
    211.84/292.42 = 128.97/x
  3. Step 3: Cross multiply
    211.84x = 292.42 × 128.97
  4. Step 4: Simplify right side
    211.84x = 37,714.16
  5. Step 5: Solve for x
    x = 37,714.16/211.84
  6. Step 6: Final answer
    x = 178.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.