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Finding the Fourth Proportional to 359.51, 496.06 and 219.66

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Solution

The fourth proportional to 359.51, 496.06 and 219.66 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.51 : 496.06 = 219.66 : x
  2. Step 2: Convert to fraction form
    359.51/496.06 = 219.66/x
  3. Step 3: Cross multiply
    359.51x = 496.06 × 219.66
  4. Step 4: Simplify right side
    359.51x = 108,966.93
  5. Step 5: Solve for x
    x = 108,966.93/359.51
  6. Step 6: Final answer
    x = 303.10

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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.