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Finding the Fourth Proportional to 211.36, 291.59 and 128.43

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Solution

The fourth proportional to 211.36, 291.59 and 128.43 is: 177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 291.59 = 128.43 : x
  2. Step 2: Convert to fraction form
    211.36/291.59 = 128.43/x
  3. Step 3: Cross multiply
    211.36x = 291.59 × 128.43
  4. Step 4: Simplify right side
    211.36x = 37,448.90
  5. Step 5: Solve for x
    x = 37,448.90/211.36
  6. Step 6: Final answer
    x = 177.18

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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.