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Finding the Fourth Proportional to 246.07, 339.51 and 146.46

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Solution

The fourth proportional to 246.07, 339.51 and 146.46 is: 202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.07 : 339.51 = 146.46 : x
  2. Step 2: Convert to fraction form
    246.07/339.51 = 146.46/x
  3. Step 3: Cross multiply
    246.07x = 339.51 × 146.46
  4. Step 4: Simplify right side
    246.07x = 49,724.63
  5. Step 5: Solve for x
    x = 49,724.63/246.07
  6. Step 6: Final answer
    x = 202.08

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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.