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Finding the Fourth Proportional to 378.24, 567.60 and 185.84

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Solution

The fourth proportional to 378.24, 567.60 and 185.84 is: 278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 567.60 = 185.84 : x
  2. Step 2: Convert to fraction form
    378.24/567.60 = 185.84/x
  3. Step 3: Cross multiply
    378.24x = 567.60 × 185.84
  4. Step 4: Simplify right side
    378.24x = 105,482.78
  5. Step 5: Solve for x
    x = 105,482.78/378.24
  6. Step 6: Final answer
    x = 278.88

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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.