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Finding the Fourth Proportional to 378.19, 567.28 and 183.21

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Solution

The fourth proportional to 378.19, 567.28 and 183.21 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.19 : 567.28 = 183.21 : x
  2. Step 2: Convert to fraction form
    378.19/567.28 = 183.21/x
  3. Step 3: Cross multiply
    378.19x = 567.28 × 183.21
  4. Step 4: Simplify right side
    378.19x = 103,931.37
  5. Step 5: Solve for x
    x = 103,931.37/378.19
  6. Step 6: Final answer
    x = 274.81

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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.