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Finding the Fourth Proportional to 247.83, 342.00 and 137.30

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Solution

The fourth proportional to 247.83, 342.00 and 137.30 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.83 : 342.00 = 137.30 : x
  2. Step 2: Convert to fraction form
    247.83/342.00 = 137.30/x
  3. Step 3: Cross multiply
    247.83x = 342.00 × 137.30
  4. Step 4: Simplify right side
    247.83x = 46,957.63
  5. Step 5: Solve for x
    x = 46,957.63/247.83
  6. Step 6: Final answer
    x = 189.48

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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.