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Finding the Fourth Proportional to 351.42, 485.00 and 202.07

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Solution

The fourth proportional to 351.42, 485.00 and 202.07 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 485.00 = 202.07 : x
  2. Step 2: Convert to fraction form
    351.42/485.00 = 202.07/x
  3. Step 3: Cross multiply
    351.42x = 485.00 × 202.07
  4. Step 4: Simplify right side
    351.42x = 98,002.18
  5. Step 5: Solve for x
    x = 98,002.18/351.42
  6. Step 6: Final answer
    x = 278.87

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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.