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Finding the Fourth Proportional to 150.48, 224.46 and 145.68

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Solution

The fourth proportional to 150.48, 224.46 and 145.68 is: 217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.48 : 224.46 = 145.68 : x
  2. Step 2: Convert to fraction form
    150.48/224.46 = 145.68/x
  3. Step 3: Cross multiply
    150.48x = 224.46 × 145.68
  4. Step 4: Simplify right side
    150.48x = 32,699.33
  5. Step 5: Solve for x
    x = 32,699.33/150.48
  6. Step 6: Final answer
    x = 217.30

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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.