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Finding the Fourth Proportional to 365.31, 546.52 and 203.10

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Solution

The fourth proportional to 365.31, 546.52 and 203.10 is: 303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 546.52 = 203.10 : x
  2. Step 2: Convert to fraction form
    365.31/546.52 = 203.10/x
  3. Step 3: Cross multiply
    365.31x = 546.52 × 203.10
  4. Step 4: Simplify right side
    365.31x = 110,998.21
  5. Step 5: Solve for x
    x = 110,998.21/365.31
  6. Step 6: Final answer
    x = 303.85

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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.