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Finding the Fourth Proportional to 225.32, 310.92 and 138.08

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Solution

The fourth proportional to 225.32, 310.92 and 138.08 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 310.92 = 138.08 : x
  2. Step 2: Convert to fraction form
    225.32/310.92 = 138.08/x
  3. Step 3: Cross multiply
    225.32x = 310.92 × 138.08
  4. Step 4: Simplify right side
    225.32x = 42,931.83
  5. Step 5: Solve for x
    x = 42,931.83/225.32
  6. Step 6: Final answer
    x = 190.54

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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.