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Finding the Fourth Proportional to 341.22, 511 and 196.50

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Solution

The fourth proportional to 341.22, 511 and 196.50 is: 294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.22 : 511 = 196.50 : x
  2. Step 2: Convert to fraction form
    341.22/511 = 196.50/x
  3. Step 3: Cross multiply
    341.22x = 511 × 196.50
  4. Step 4: Simplify right side
    341.22x = 100,411.50
  5. Step 5: Solve for x
    x = 100,411.50/341.22
  6. Step 6: Final answer
    x = 294.27

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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.