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Finding the Fourth Proportional to 225.38, 310.86 and 147.77

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Solution

The fourth proportional to 225.38, 310.86 and 147.77 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.38 : 310.86 = 147.77 : x
  2. Step 2: Convert to fraction form
    225.38/310.86 = 147.77/x
  3. Step 3: Cross multiply
    225.38x = 310.86 × 147.77
  4. Step 4: Simplify right side
    225.38x = 45,935.78
  5. Step 5: Solve for x
    x = 45,935.78/225.38
  6. Step 6: Final answer
    x = 203.81

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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.