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Finding the Fourth Proportional to 225.92, 311.76 and 148.32

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Solution

The fourth proportional to 225.92, 311.76 and 148.32 is: 204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 311.76 = 148.32 : x
  2. Step 2: Convert to fraction form
    225.92/311.76 = 148.32/x
  3. Step 3: Cross multiply
    225.92x = 311.76 × 148.32
  4. Step 4: Simplify right side
    225.92x = 46,240.24
  5. Step 5: Solve for x
    x = 46,240.24/225.92
  6. Step 6: Final answer
    x = 204.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.