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Finding the Fourth Proportional to 309.70, 464.52 and 187.93

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Solution

The fourth proportional to 309.70, 464.52 and 187.93 is: 281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 464.52 = 187.93 : x
  2. Step 2: Convert to fraction form
    309.70/464.52 = 187.93/x
  3. Step 3: Cross multiply
    309.70x = 464.52 × 187.93
  4. Step 4: Simplify right side
    309.70x = 87,297.24
  5. Step 5: Solve for x
    x = 87,297.24/309.70
  6. Step 6: Final answer
    x = 281.88

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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.