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Finding the Fourth Proportional to 309.42, 426.94 and 178.40

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Solution

The fourth proportional to 309.42, 426.94 and 178.40 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 426.94 = 178.40 : x
  2. Step 2: Convert to fraction form
    309.42/426.94 = 178.40/x
  3. Step 3: Cross multiply
    309.42x = 426.94 × 178.40
  4. Step 4: Simplify right side
    309.42x = 76,166.10
  5. Step 5: Solve for x
    x = 76,166.10/309.42
  6. Step 6: Final answer
    x = 246.16

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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.