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Finding the Fourth Proportional to 375.48, 563.58 and 180.63

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Solution

The fourth proportional to 375.48, 563.58 and 180.63 is: 271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.48 : 563.58 = 180.63 : x
  2. Step 2: Convert to fraction form
    375.48/563.58 = 180.63/x
  3. Step 3: Cross multiply
    375.48x = 563.58 × 180.63
  4. Step 4: Simplify right side
    375.48x = 101,799.46
  5. Step 5: Solve for x
    x = 101,799.46/375.48
  6. Step 6: Final answer
    x = 271.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.