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Finding the Fourth Proportional to 211.80, 277.08 and 211.80

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Solution

The fourth proportional to 211.80, 277.08 and 211.80 is: 277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.80 : 277.08 = 211.80 : x
  2. Step 2: Convert to fraction form
    211.80/277.08 = 211.80/x
  3. Step 3: Cross multiply
    211.80x = 277.08 × 211.80
  4. Step 4: Simplify right side
    211.80x = 58,685.54
  5. Step 5: Solve for x
    x = 58,685.54/211.80
  6. Step 6: Final answer
    x = 277.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.