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Finding the Fourth Proportional to 175.80, 264.69 and 127.80

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Solution

The fourth proportional to 175.80, 264.69 and 127.80 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.80 : 264.69 = 127.80 : x
  2. Step 2: Convert to fraction form
    175.80/264.69 = 127.80/x
  3. Step 3: Cross multiply
    175.80x = 264.69 × 127.80
  4. Step 4: Simplify right side
    175.80x = 33,827.38
  5. Step 5: Solve for x
    x = 33,827.38/175.80
  6. Step 6: Final answer
    x = 192.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.