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Finding the Fourth Proportional to 211.53, 291.83 and 128.58

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Solution

The fourth proportional to 211.53, 291.83 and 128.58 is: 177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.53 : 291.83 = 128.58 : x
  2. Step 2: Convert to fraction form
    211.53/291.83 = 128.58/x
  3. Step 3: Cross multiply
    211.53x = 291.83 × 128.58
  4. Step 4: Simplify right side
    211.53x = 37,523.50
  5. Step 5: Solve for x
    x = 37,523.50/211.53
  6. Step 6: Final answer
    x = 177.39

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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.