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Finding the Fourth Proportional to 359.06, 538.67 and 127.97

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Solution

The fourth proportional to 359.06, 538.67 and 127.97 is: 191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.06 : 538.67 = 127.97 : x
  2. Step 2: Convert to fraction form
    359.06/538.67 = 127.97/x
  3. Step 3: Cross multiply
    359.06x = 538.67 × 127.97
  4. Step 4: Simplify right side
    359.06x = 68,931.23
  5. Step 5: Solve for x
    x = 68,931.23/359.06
  6. Step 6: Final answer
    x = 191.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.