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Finding the Fourth Proportional to 225.76, 311.34 and 148

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Solution

The fourth proportional to 225.76, 311.34 and 148 is: 204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.76 : 311.34 = 148 : x
  2. Step 2: Convert to fraction form
    225.76/311.34 = 148/x
  3. Step 3: Cross multiply
    225.76x = 311.34 × 148
  4. Step 4: Simplify right side
    225.76x = 46,078.32
  5. Step 5: Solve for x
    x = 46,078.32/225.76
  6. Step 6: Final answer
    x = 204.10

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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.