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Finding the Fourth Proportional to 211.21, 291.32 and 128.33

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Solution

The fourth proportional to 211.21, 291.32 and 128.33 is: 177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.21 : 291.32 = 128.33 : x
  2. Step 2: Convert to fraction form
    211.21/291.32 = 128.33/x
  3. Step 3: Cross multiply
    211.21x = 291.32 × 128.33
  4. Step 4: Simplify right side
    211.21x = 37,386.57
  5. Step 5: Solve for x
    x = 37,386.57/211.21
  6. Step 6: Final answer
    x = 177.01

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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.