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Finding the Fourth Proportional to 344.97, 476.07 and 187.60

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Solution

The fourth proportional to 344.97, 476.07 and 187.60 is: 258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.97 : 476.07 = 187.60 : x
  2. Step 2: Convert to fraction form
    344.97/476.07 = 187.60/x
  3. Step 3: Cross multiply
    344.97x = 476.07 × 187.60
  4. Step 4: Simplify right side
    344.97x = 89,309.79
  5. Step 5: Solve for x
    x = 89,309.79/344.97
  6. Step 6: Final answer
    x = 258.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.