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Finding the Fourth Proportional to 375.36, 562.76 and 180.30

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Solution

The fourth proportional to 375.36, 562.76 and 180.30 is: 270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.36 : 562.76 = 180.30 : x
  2. Step 2: Convert to fraction form
    375.36/562.76 = 180.30/x
  3. Step 3: Cross multiply
    375.36x = 562.76 × 180.30
  4. Step 4: Simplify right side
    375.36x = 101,465.63
  5. Step 5: Solve for x
    x = 101,465.63/375.36
  6. Step 6: Final answer
    x = 270.32

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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.