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Finding the Fourth Proportional to 369.21, 553.83 and 95.30

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Solution

The fourth proportional to 369.21, 553.83 and 95.30 is: 142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.21 : 553.83 = 95.30 : x
  2. Step 2: Convert to fraction form
    369.21/553.83 = 95.30/x
  3. Step 3: Cross multiply
    369.21x = 553.83 × 95.30
  4. Step 4: Simplify right side
    369.21x = 52,776.75
  5. Step 5: Solve for x
    x = 52,776.75/369.21
  6. Step 6: Final answer
    x = 142.95

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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.