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Finding the Fourth Proportional to 378.11, 566.86 and 146.88

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Solution

The fourth proportional to 378.11, 566.86 and 146.88 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.11 : 566.86 = 146.88 : x
  2. Step 2: Convert to fraction form
    378.11/566.86 = 146.88/x
  3. Step 3: Cross multiply
    378.11x = 566.86 × 146.88
  4. Step 4: Simplify right side
    378.11x = 83,260.40
  5. Step 5: Solve for x
    x = 83,260.40/378.11
  6. Step 6: Final answer
    x = 220.20

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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.