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Finding the Fourth Proportional to 246.09, 339.60 and 147.84

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Solution

The fourth proportional to 246.09, 339.60 and 147.84 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.09 : 339.60 = 147.84 : x
  2. Step 2: Convert to fraction form
    246.09/339.60 = 147.84/x
  3. Step 3: Cross multiply
    246.09x = 339.60 × 147.84
  4. Step 4: Simplify right side
    246.09x = 50,206.46
  5. Step 5: Solve for x
    x = 50,206.46/246.09
  6. Step 6: Final answer
    x = 204.02

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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.