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Finding the Fourth Proportional to 370.71, 556.16 and 197.37

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Solution

The fourth proportional to 370.71, 556.16 and 197.37 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.71 : 556.16 = 197.37 : x
  2. Step 2: Convert to fraction form
    370.71/556.16 = 197.37/x
  3. Step 3: Cross multiply
    370.71x = 556.16 × 197.37
  4. Step 4: Simplify right side
    370.71x = 109,768.31
  5. Step 5: Solve for x
    x = 109,768.31/370.71
  6. Step 6: Final answer
    x = 296.10

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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.