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Finding the Fourth Proportional to 203.10, 280.18 and 175.46

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Solution

The fourth proportional to 203.10, 280.18 and 175.46 is: 242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.10 : 280.18 = 175.46 : x
  2. Step 2: Convert to fraction form
    203.10/280.18 = 175.46/x
  3. Step 3: Cross multiply
    203.10x = 280.18 × 175.46
  4. Step 4: Simplify right side
    203.10x = 49,160.38
  5. Step 5: Solve for x
    x = 49,160.38/203.10
  6. Step 6: Final answer
    x = 242.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.