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Finding the Fourth Proportional to 378.07, 566.49 and 146.70

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Solution

The fourth proportional to 378.07, 566.49 and 146.70 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.07 : 566.49 = 146.70 : x
  2. Step 2: Convert to fraction form
    378.07/566.49 = 146.70/x
  3. Step 3: Cross multiply
    378.07x = 566.49 × 146.70
  4. Step 4: Simplify right side
    378.07x = 83,104.63
  5. Step 5: Solve for x
    x = 83,104.63/378.07
  6. Step 6: Final answer
    x = 219.81

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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.