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Finding the Fourth Proportional to 375.55, 563.56 and 183.07

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Solution

The fourth proportional to 375.55, 563.56 and 183.07 is: 274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.55 : 563.56 = 183.07 : x
  2. Step 2: Convert to fraction form
    375.55/563.56 = 183.07/x
  3. Step 3: Cross multiply
    375.55x = 563.56 × 183.07
  4. Step 4: Simplify right side
    375.55x = 103,168.11
  5. Step 5: Solve for x
    x = 103,168.11/375.55
  6. Step 6: Final answer
    x = 274.72

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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.