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Finding the Fourth Proportional to 355.21, 532.86 and 190.66

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Solution

The fourth proportional to 355.21, 532.86 and 190.66 is: 286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.21 : 532.86 = 190.66 : x
  2. Step 2: Convert to fraction form
    355.21/532.86 = 190.66/x
  3. Step 3: Cross multiply
    355.21x = 532.86 × 190.66
  4. Step 4: Simplify right side
    355.21x = 101,595.09
  5. Step 5: Solve for x
    x = 101,595.09/355.21
  6. Step 6: Final answer
    x = 286.01

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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.