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Finding the Fourth Proportional to 210.72, 290.82 and 127.85

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Solution

The fourth proportional to 210.72, 290.82 and 127.85 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.72 : 290.82 = 127.85 : x
  2. Step 2: Convert to fraction form
    210.72/290.82 = 127.85/x
  3. Step 3: Cross multiply
    210.72x = 290.82 × 127.85
  4. Step 4: Simplify right side
    210.72x = 37,179.28
  5. Step 5: Solve for x
    x = 37,179.28/210.72
  6. Step 6: Final answer
    x = 176.44

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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.