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Finding the Fourth Proportional to 347.06, 478.86 and 199.70

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Solution

The fourth proportional to 347.06, 478.86 and 199.70 is: 275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.06 : 478.86 = 199.70 : x
  2. Step 2: Convert to fraction form
    347.06/478.86 = 199.70/x
  3. Step 3: Cross multiply
    347.06x = 478.86 × 199.70
  4. Step 4: Simplify right side
    347.06x = 95,628.34
  5. Step 5: Solve for x
    x = 95,628.34/347.06
  6. Step 6: Final answer
    x = 275.54

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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.