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Finding the Fourth Proportional to 211.76, 289.57 and 211.76

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Solution

The fourth proportional to 211.76, 289.57 and 211.76 is: 289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.76 : 289.57 = 211.76 : x
  2. Step 2: Convert to fraction form
    211.76/289.57 = 211.76/x
  3. Step 3: Cross multiply
    211.76x = 289.57 × 211.76
  4. Step 4: Simplify right side
    211.76x = 61,319.88
  5. Step 5: Solve for x
    x = 61,319.88/211.76
  6. Step 6: Final answer
    x = 289.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.