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Finding the Fourth Proportional to 378.64, 568.12 and 186.40

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Solution

The fourth proportional to 378.64, 568.12 and 186.40 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 568.12 = 186.40 : x
  2. Step 2: Convert to fraction form
    378.64/568.12 = 186.40/x
  3. Step 3: Cross multiply
    378.64x = 568.12 × 186.40
  4. Step 4: Simplify right side
    378.64x = 105,897.57
  5. Step 5: Solve for x
    x = 105,897.57/378.64
  6. Step 6: Final answer
    x = 279.68

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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.