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Finding the Fourth Proportional to 309.35, 426.80 and 176.58

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Solution

The fourth proportional to 309.35, 426.80 and 176.58 is: 243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.35 : 426.80 = 176.58 : x
  2. Step 2: Convert to fraction form
    309.35/426.80 = 176.58/x
  3. Step 3: Cross multiply
    309.35x = 426.80 × 176.58
  4. Step 4: Simplify right side
    309.35x = 75,364.79
  5. Step 5: Solve for x
    x = 75,364.79/309.35
  6. Step 6: Final answer
    x = 243.62

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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.