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Finding the Fourth Proportional to 207.31, 310.13 and 178.00

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Solution

The fourth proportional to 207.31, 310.13 and 178.00 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 310.13 = 178.00 : x
  2. Step 2: Convert to fraction form
    207.31/310.13 = 178.00/x
  3. Step 3: Cross multiply
    207.31x = 310.13 × 178.00
  4. Step 4: Simplify right side
    207.31x = 55,202.14
  5. Step 5: Solve for x
    x = 55,202.14/207.31
  6. Step 6: Final answer
    x = 266.28

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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.