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Finding the Fourth Proportional to 359.54, 539.16 and 128.36

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Solution

The fourth proportional to 359.54, 539.16 and 128.36 is: 192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.54 : 539.16 = 128.36 : x
  2. Step 2: Convert to fraction form
    359.54/539.16 = 128.36/x
  3. Step 3: Cross multiply
    359.54x = 539.16 × 128.36
  4. Step 4: Simplify right side
    359.54x = 69,206.58
  5. Step 5: Solve for x
    x = 69,206.58/359.54
  6. Step 6: Final answer
    x = 192.49

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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.