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Finding the Fourth Proportional to 207.66, 310.05 and 178.74

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Solution

The fourth proportional to 207.66, 310.05 and 178.74 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 310.05 = 178.74 : x
  2. Step 2: Convert to fraction form
    207.66/310.05 = 178.74/x
  3. Step 3: Cross multiply
    207.66x = 310.05 × 178.74
  4. Step 4: Simplify right side
    207.66x = 55,418.34
  5. Step 5: Solve for x
    x = 55,418.34/207.66
  6. Step 6: Final answer
    x = 266.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.