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Finding the Fourth Proportional to 340.81, 511.36 and 178.45

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Solution

The fourth proportional to 340.81, 511.36 and 178.45 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.81 : 511.36 = 178.45 : x
  2. Step 2: Convert to fraction form
    340.81/511.36 = 178.45/x
  3. Step 3: Cross multiply
    340.81x = 511.36 × 178.45
  4. Step 4: Simplify right side
    340.81x = 91,254.35
  5. Step 5: Solve for x
    x = 91,254.35/340.81
  6. Step 6: Final answer
    x = 267.76

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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.