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Finding the Fourth Proportional to 312.37, 431.09 and 202.16

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Solution

The fourth proportional to 312.37, 431.09 and 202.16 is: 279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.37 : 431.09 = 202.16 : x
  2. Step 2: Convert to fraction form
    312.37/431.09 = 202.16/x
  3. Step 3: Cross multiply
    312.37x = 431.09 × 202.16
  4. Step 4: Simplify right side
    312.37x = 87,150.63
  5. Step 5: Solve for x
    x = 87,150.63/312.37
  6. Step 6: Final answer
    x = 279.00

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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.