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Finding the Fourth Proportional to 359.16, 495.34 and 220.92

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Solution

The fourth proportional to 359.16, 495.34 and 220.92 is: 304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.16 : 495.34 = 220.92 : x
  2. Step 2: Convert to fraction form
    359.16/495.34 = 220.92/x
  3. Step 3: Cross multiply
    359.16x = 495.34 × 220.92
  4. Step 4: Simplify right side
    359.16x = 109,430.51
  5. Step 5: Solve for x
    x = 109,430.51/359.16
  6. Step 6: Final answer
    x = 304.68

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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.