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Finding the Fourth Proportional to 378.06, 567.22 and 146.86

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Solution

The fourth proportional to 378.06, 567.22 and 146.86 is: 220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.06 : 567.22 = 146.86 : x
  2. Step 2: Convert to fraction form
    378.06/567.22 = 146.86/x
  3. Step 3: Cross multiply
    378.06x = 567.22 × 146.86
  4. Step 4: Simplify right side
    378.06x = 83,301.93
  5. Step 5: Solve for x
    x = 83,301.93/378.06
  6. Step 6: Final answer
    x = 220.34

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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.