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Finding the Fourth Proportional to 340.96, 511.78 and 178.60

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Solution

The fourth proportional to 340.96, 511.78 and 178.60 is: 268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.96 : 511.78 = 178.60 : x
  2. Step 2: Convert to fraction form
    340.96/511.78 = 178.60/x
  3. Step 3: Cross multiply
    340.96x = 511.78 × 178.60
  4. Step 4: Simplify right side
    340.96x = 91,403.91
  5. Step 5: Solve for x
    x = 91,403.91/340.96
  6. Step 6: Final answer
    x = 268.08

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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.