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Finding the Fourth Proportional to 359.66, 539.54 and 116.22

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Solution

The fourth proportional to 359.66, 539.54 and 116.22 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.66 : 539.54 = 116.22 : x
  2. Step 2: Convert to fraction form
    359.66/539.54 = 116.22/x
  3. Step 3: Cross multiply
    359.66x = 539.54 × 116.22
  4. Step 4: Simplify right side
    359.66x = 62,705.63
  5. Step 5: Solve for x
    x = 62,705.63/359.66
  6. Step 6: Final answer
    x = 174.35

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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.