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Finding the Fourth Proportional to 325.32, 488.04 and 149.63

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Solution

The fourth proportional to 325.32, 488.04 and 149.63 is: 224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.32 : 488.04 = 149.63 : x
  2. Step 2: Convert to fraction form
    325.32/488.04 = 149.63/x
  3. Step 3: Cross multiply
    325.32x = 488.04 × 149.63
  4. Step 4: Simplify right side
    325.32x = 73,024.68
  5. Step 5: Solve for x
    x = 73,024.68/325.32
  6. Step 6: Final answer
    x = 224.47

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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.