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Finding the Fourth Proportional to 370.83, 556.25 and 96.91

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Solution

The fourth proportional to 370.83, 556.25 and 96.91 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.83 : 556.25 = 96.91 : x
  2. Step 2: Convert to fraction form
    370.83/556.25 = 96.91/x
  3. Step 3: Cross multiply
    370.83x = 556.25 × 96.91
  4. Step 4: Simplify right side
    370.83x = 53,906.19
  5. Step 5: Solve for x
    x = 53,906.19/370.83
  6. Step 6: Final answer
    x = 145.37

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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.