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Finding the Fourth Proportional to 340.79, 511.41 and 178.58

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Solution

The fourth proportional to 340.79, 511.41 and 178.58 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.79 : 511.41 = 178.58 : x
  2. Step 2: Convert to fraction form
    340.79/511.41 = 178.58/x
  3. Step 3: Cross multiply
    340.79x = 511.41 × 178.58
  4. Step 4: Simplify right side
    340.79x = 91,329.55
  5. Step 5: Solve for x
    x = 91,329.55/340.79
  6. Step 6: Final answer
    x = 268.00

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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.