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Finding the Fourth Proportional to 370.11, 555.12 and 96.22

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Solution

The fourth proportional to 370.11, 555.12 and 96.22 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.11 : 555.12 = 96.22 : x
  2. Step 2: Convert to fraction form
    370.11/555.12 = 96.22/x
  3. Step 3: Cross multiply
    370.11x = 555.12 × 96.22
  4. Step 4: Simplify right side
    370.11x = 53,413.17
  5. Step 5: Solve for x
    x = 53,413.17/370.11
  6. Step 6: Final answer
    x = 144.32

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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.