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Finding the Fourth Proportional to 311.44, 429.62 and 187.08

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Solution

The fourth proportional to 311.44, 429.62 and 187.08 is: 258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 429.62 = 187.08 : x
  2. Step 2: Convert to fraction form
    311.44/429.62 = 187.08/x
  3. Step 3: Cross multiply
    311.44x = 429.62 × 187.08
  4. Step 4: Simplify right side
    311.44x = 80,373.31
  5. Step 5: Solve for x
    x = 80,373.31/311.44
  6. Step 6: Final answer
    x = 258.07

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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.