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Finding the Fourth Proportional to 225.32, 310.97 and 138.04

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Solution

The fourth proportional to 225.32, 310.97 and 138.04 is: 190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 310.97 = 138.04 : x
  2. Step 2: Convert to fraction form
    225.32/310.97 = 138.04/x
  3. Step 3: Cross multiply
    225.32x = 310.97 × 138.04
  4. Step 4: Simplify right side
    225.32x = 42,925.87
  5. Step 5: Solve for x
    x = 42,925.87/225.32
  6. Step 6: Final answer
    x = 190.51

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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.