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Finding the Fourth Proportional to 342.84, 513.65 and 180.64

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Solution

The fourth proportional to 342.84, 513.65 and 180.64 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 513.65 = 180.64 : x
  2. Step 2: Convert to fraction form
    342.84/513.65 = 180.64/x
  3. Step 3: Cross multiply
    342.84x = 513.65 × 180.64
  4. Step 4: Simplify right side
    342.84x = 92,784.90
  5. Step 5: Solve for x
    x = 92,784.90/342.84
  6. Step 6: Final answer
    x = 270.64

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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.