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Finding the Fourth Proportional to 309.34, 464.55 and 188.31

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Solution

The fourth proportional to 309.34, 464.55 and 188.31 is: 282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 464.55 = 188.31 : x
  2. Step 2: Convert to fraction form
    309.34/464.55 = 188.31/x
  3. Step 3: Cross multiply
    309.34x = 464.55 × 188.31
  4. Step 4: Simplify right side
    309.34x = 87,479.41
  5. Step 5: Solve for x
    x = 87,479.41/309.34
  6. Step 6: Final answer
    x = 282.79

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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.