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Finding the Fourth Proportional to 343.67, 515.47 and 158.58

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Solution

The fourth proportional to 343.67, 515.47 and 158.58 is: 237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.67 : 515.47 = 158.58 : x
  2. Step 2: Convert to fraction form
    343.67/515.47 = 158.58/x
  3. Step 3: Cross multiply
    343.67x = 515.47 × 158.58
  4. Step 4: Simplify right side
    343.67x = 81,743.23
  5. Step 5: Solve for x
    x = 81,743.23/343.67
  6. Step 6: Final answer
    x = 237.85

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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.