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Finding the Fourth Proportional to 378.03, 566.64 and 185.25

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Solution

The fourth proportional to 378.03, 566.64 and 185.25 is: 277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.03 : 566.64 = 185.25 : x
  2. Step 2: Convert to fraction form
    378.03/566.64 = 185.25/x
  3. Step 3: Cross multiply
    378.03x = 566.64 × 185.25
  4. Step 4: Simplify right side
    378.03x = 104,970.06
  5. Step 5: Solve for x
    x = 104,970.06/378.03
  6. Step 6: Final answer
    x = 277.68

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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.