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Finding the Fourth Proportional to 150.65, 224.70 and 146.09

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Solution

The fourth proportional to 150.65, 224.70 and 146.09 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 224.70 = 146.09 : x
  2. Step 2: Convert to fraction form
    150.65/224.70 = 146.09/x
  3. Step 3: Cross multiply
    150.65x = 224.70 × 146.09
  4. Step 4: Simplify right side
    150.65x = 32,826.44
  5. Step 5: Solve for x
    x = 32,826.44/150.65
  6. Step 6: Final answer
    x = 217.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.