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Finding the Fourth Proportional to 359.54, 539.48 and 177.06

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Solution

The fourth proportional to 359.54, 539.48 and 177.06 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.54 : 539.48 = 177.06 : x
  2. Step 2: Convert to fraction form
    359.54/539.48 = 177.06/x
  3. Step 3: Cross multiply
    359.54x = 539.48 × 177.06
  4. Step 4: Simplify right side
    359.54x = 95,520.33
  5. Step 5: Solve for x
    x = 95,520.33/359.54
  6. Step 6: Final answer
    x = 265.67

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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.