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Finding the Fourth Proportional to 355.66, 532.90 and 218.42

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Solution

The fourth proportional to 355.66, 532.90 and 218.42 is: 327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.66 : 532.90 = 218.42 : x
  2. Step 2: Convert to fraction form
    355.66/532.90 = 218.42/x
  3. Step 3: Cross multiply
    355.66x = 532.90 × 218.42
  4. Step 4: Simplify right side
    355.66x = 116,393.35
  5. Step 5: Solve for x
    x = 116,393.35/355.66
  6. Step 6: Final answer
    x = 327.26

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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.