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Finding the Fourth Proportional to 359.51, 539.33 and 116.10

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Solution

The fourth proportional to 359.51, 539.33 and 116.10 is: 174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.51 : 539.33 = 116.10 : x
  2. Step 2: Convert to fraction form
    359.51/539.33 = 116.10/x
  3. Step 3: Cross multiply
    359.51x = 539.33 × 116.10
  4. Step 4: Simplify right side
    359.51x = 62,615.63
  5. Step 5: Solve for x
    x = 62,615.63/359.51
  6. Step 6: Final answer
    x = 174.17

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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.