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Finding the Fourth Proportional to 309.58, 464.14 and 187.82

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Solution

The fourth proportional to 309.58, 464.14 and 187.82 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.58 : 464.14 = 187.82 : x
  2. Step 2: Convert to fraction form
    309.58/464.14 = 187.82/x
  3. Step 3: Cross multiply
    309.58x = 464.14 × 187.82
  4. Step 4: Simplify right side
    309.58x = 87,174.77
  5. Step 5: Solve for x
    x = 87,174.77/309.58
  6. Step 6: Final answer
    x = 281.59

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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.