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Finding the Fourth Proportional to 211.75, 292.06 and 127.66

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Solution

The fourth proportional to 211.75, 292.06 and 127.66 is: 176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.75 : 292.06 = 127.66 : x
  2. Step 2: Convert to fraction form
    211.75/292.06 = 127.66/x
  3. Step 3: Cross multiply
    211.75x = 292.06 × 127.66
  4. Step 4: Simplify right side
    211.75x = 37,284.38
  5. Step 5: Solve for x
    x = 37,284.38/211.75
  6. Step 6: Final answer
    x = 176.08

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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.