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Finding the Fourth Proportional to 211.78, 292.01 and 155.51

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Solution

The fourth proportional to 211.78, 292.01 and 155.51 is: 214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 292.01 = 155.51 : x
  2. Step 2: Convert to fraction form
    211.78/292.01 = 155.51/x
  3. Step 3: Cross multiply
    211.78x = 292.01 × 155.51
  4. Step 4: Simplify right side
    211.78x = 45,408.24
  5. Step 5: Solve for x
    x = 45,408.24/211.78
  6. Step 6: Final answer
    x = 214.42

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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.