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Finding the Fourth Proportional to 356.28, 534.38 and 96.27

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Solution

The fourth proportional to 356.28, 534.38 and 96.27 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.28 : 534.38 = 96.27 : x
  2. Step 2: Convert to fraction form
    356.28/534.38 = 96.27/x
  3. Step 3: Cross multiply
    356.28x = 534.38 × 96.27
  4. Step 4: Simplify right side
    356.28x = 51,445.00
  5. Step 5: Solve for x
    x = 51,445.00/356.28
  6. Step 6: Final answer
    x = 144.39

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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.