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Finding the Fourth Proportional to 359.41, 495.93 and 202.03

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Solution

The fourth proportional to 359.41, 495.93 and 202.03 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.41 : 495.93 = 202.03 : x
  2. Step 2: Convert to fraction form
    359.41/495.93 = 202.03/x
  3. Step 3: Cross multiply
    359.41x = 495.93 × 202.03
  4. Step 4: Simplify right side
    359.41x = 100,192.74
  5. Step 5: Solve for x
    x = 100,192.74/359.41
  6. Step 6: Final answer
    x = 278.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.