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Finding the Fourth Proportional to 150.46, 225.70 and 77.32

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Solution

The fourth proportional to 150.46, 225.70 and 77.32 is: 115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.46 : 225.70 = 77.32 : x
  2. Step 2: Convert to fraction form
    150.46/225.70 = 77.32/x
  3. Step 3: Cross multiply
    150.46x = 225.70 × 77.32
  4. Step 4: Simplify right side
    150.46x = 17,449.99
  5. Step 5: Solve for x
    x = 17,449.99/150.46
  6. Step 6: Final answer
    x = 115.98

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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.