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Finding the Fourth Proportional to 316.86, 475.32 and 187.05

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Solution

The fourth proportional to 316.86, 475.32 and 187.05 is: 280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.86 : 475.32 = 187.05 : x
  2. Step 2: Convert to fraction form
    316.86/475.32 = 187.05/x
  3. Step 3: Cross multiply
    316.86x = 475.32 × 187.05
  4. Step 4: Simplify right side
    316.86x = 88,908.61
  5. Step 5: Solve for x
    x = 88,908.61/316.86
  6. Step 6: Final answer
    x = 280.59

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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.