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Finding the Fourth Proportional to 375.54, 562.93 and 180.26

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Solution

The fourth proportional to 375.54, 562.93 and 180.26 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.54 : 562.93 = 180.26 : x
  2. Step 2: Convert to fraction form
    375.54/562.93 = 180.26/x
  3. Step 3: Cross multiply
    375.54x = 562.93 × 180.26
  4. Step 4: Simplify right side
    375.54x = 101,470.95
  5. Step 5: Solve for x
    x = 101,470.95/375.54
  6. Step 6: Final answer
    x = 270.20

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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.