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Finding the Fourth Proportional to 225.05, 310.66 and 197.71

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Solution

The fourth proportional to 225.05, 310.66 and 197.71 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.05 : 310.66 = 197.71 : x
  2. Step 2: Convert to fraction form
    225.05/310.66 = 197.71/x
  3. Step 3: Cross multiply
    225.05x = 310.66 × 197.71
  4. Step 4: Simplify right side
    225.05x = 61,419.32
  5. Step 5: Solve for x
    x = 61,419.32/225.05
  6. Step 6: Final answer
    x = 272.92

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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.