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Finding the Fourth Proportional to 359.17, 538.45 and 185.76

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Solution

The fourth proportional to 359.17, 538.45 and 185.76 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.17 : 538.45 = 185.76 : x
  2. Step 2: Convert to fraction form
    359.17/538.45 = 185.76/x
  3. Step 3: Cross multiply
    359.17x = 538.45 × 185.76
  4. Step 4: Simplify right side
    359.17x = 100,022.01
  5. Step 5: Solve for x
    x = 100,022.01/359.17
  6. Step 6: Final answer
    x = 278.48

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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.