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Finding the Fourth Proportional to 341.97, 511.83 and 187.53

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Solution

The fourth proportional to 341.97, 511.83 and 187.53 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.97 : 511.83 = 187.53 : x
  2. Step 2: Convert to fraction form
    341.97/511.83 = 187.53/x
  3. Step 3: Cross multiply
    341.97x = 511.83 × 187.53
  4. Step 4: Simplify right side
    341.97x = 95,983.48
  5. Step 5: Solve for x
    x = 95,983.48/341.97
  6. Step 6: Final answer
    x = 280.68

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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.