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Finding the Fourth Proportional to 359.22, 538.50 and 176.60

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Solution

The fourth proportional to 359.22, 538.50 and 176.60 is: 264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.22 : 538.50 = 176.60 : x
  2. Step 2: Convert to fraction form
    359.22/538.50 = 176.60/x
  3. Step 3: Cross multiply
    359.22x = 538.50 × 176.60
  4. Step 4: Simplify right side
    359.22x = 95,099.10
  5. Step 5: Solve for x
    x = 95,099.10/359.22
  6. Step 6: Final answer
    x = 264.74

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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.