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Finding the Fourth Proportional to 359.33, 538.49 and 176.54

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Solution

The fourth proportional to 359.33, 538.49 and 176.54 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.33 : 538.49 = 176.54 : x
  2. Step 2: Convert to fraction form
    359.33/538.49 = 176.54/x
  3. Step 3: Cross multiply
    359.33x = 538.49 × 176.54
  4. Step 4: Simplify right side
    359.33x = 95,065.02
  5. Step 5: Solve for x
    x = 95,065.02/359.33
  6. Step 6: Final answer
    x = 264.56

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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.