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Finding the Fourth Proportional to 381.04, 571.42 and 146.72

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Solution

The fourth proportional to 381.04, 571.42 and 146.72 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.04 : 571.42 = 146.72 : x
  2. Step 2: Convert to fraction form
    381.04/571.42 = 146.72/x
  3. Step 3: Cross multiply
    381.04x = 571.42 × 146.72
  4. Step 4: Simplify right side
    381.04x = 83,838.74
  5. Step 5: Solve for x
    x = 83,838.74/381.04
  6. Step 6: Final answer
    x = 220.03

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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.