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Finding the Fourth Proportional to 371.12, 556.68 and 97.22

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Solution

The fourth proportional to 371.12, 556.68 and 97.22 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.12 : 556.68 = 97.22 : x
  2. Step 2: Convert to fraction form
    371.12/556.68 = 97.22/x
  3. Step 3: Cross multiply
    371.12x = 556.68 × 97.22
  4. Step 4: Simplify right side
    371.12x = 54,117.65
  5. Step 5: Solve for x
    x = 54,117.65/371.12
  6. Step 6: Final answer
    x = 145.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.