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Finding the Fourth Proportional to 359.37, 538.32 and 176.49

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Solution

The fourth proportional to 359.37, 538.32 and 176.49 is: 264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.37 : 538.32 = 176.49 : x
  2. Step 2: Convert to fraction form
    359.37/538.32 = 176.49/x
  3. Step 3: Cross multiply
    359.37x = 538.32 × 176.49
  4. Step 4: Simplify right side
    359.37x = 95,008.10
  5. Step 5: Solve for x
    x = 95,008.10/359.37
  6. Step 6: Final answer
    x = 264.37

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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.