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Finding the Fourth Proportional to 359.93, 540.06 and 177.22

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Solution

The fourth proportional to 359.93, 540.06 and 177.22 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.93 : 540.06 = 177.22 : x
  2. Step 2: Convert to fraction form
    359.93/540.06 = 177.22/x
  3. Step 3: Cross multiply
    359.93x = 540.06 × 177.22
  4. Step 4: Simplify right side
    359.93x = 95,709.43
  5. Step 5: Solve for x
    x = 95,709.43/359.93
  6. Step 6: Final answer
    x = 265.91

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