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Finding the Fourth Proportional to 150.35, 225.44 and 52.83

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Solution

The fourth proportional to 150.35, 225.44 and 52.83 is: 79.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.35 : 225.44 = 52.83 : x
  2. Step 2: Convert to fraction form
    150.35/225.44 = 52.83/x
  3. Step 3: Cross multiply
    150.35x = 225.44 × 52.83
  4. Step 4: Simplify right side
    150.35x = 11,909.73
  5. Step 5: Solve for x
    x = 11,909.73/150.35
  6. Step 6: Final answer
    x = 79.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.