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Finding the Fourth Proportional to 211.07, 290.86 and 155.72

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Solution

The fourth proportional to 211.07, 290.86 and 155.72 is: 214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.07 : 290.86 = 155.72 : x
  2. Step 2: Convert to fraction form
    211.07/290.86 = 155.72/x
  3. Step 3: Cross multiply
    211.07x = 290.86 × 155.72
  4. Step 4: Simplify right side
    211.07x = 45,293.06
  5. Step 5: Solve for x
    x = 45,293.06/211.07
  6. Step 6: Final answer
    x = 214.59

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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.