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Finding the Fourth Proportional to 378.69, 567.49 and 186.45

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Solution

The fourth proportional to 378.69, 567.49 and 186.45 is: 279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.69 : 567.49 = 186.45 : x
  2. Step 2: Convert to fraction form
    378.69/567.49 = 186.45/x
  3. Step 3: Cross multiply
    378.69x = 567.49 × 186.45
  4. Step 4: Simplify right side
    378.69x = 105,808.51
  5. Step 5: Solve for x
    x = 105,808.51/378.69
  6. Step 6: Final answer
    x = 279.41

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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.