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Finding the Fourth Proportional to 359.34, 538.85 and 140.03

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Solution

The fourth proportional to 359.34, 538.85 and 140.03 is: 209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.34 : 538.85 = 140.03 : x
  2. Step 2: Convert to fraction form
    359.34/538.85 = 140.03/x
  3. Step 3: Cross multiply
    359.34x = 538.85 × 140.03
  4. Step 4: Simplify right side
    359.34x = 75,454.84
  5. Step 5: Solve for x
    x = 75,454.84/359.34
  6. Step 6: Final answer
    x = 209.98

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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.