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Finding the Fourth Proportional to 246.14, 339.67 and 152.84

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Solution

The fourth proportional to 246.14, 339.67 and 152.84 is: 210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.14 : 339.67 = 152.84 : x
  2. Step 2: Convert to fraction form
    246.14/339.67 = 152.84/x
  3. Step 3: Cross multiply
    246.14x = 339.67 × 152.84
  4. Step 4: Simplify right side
    246.14x = 51,915.16
  5. Step 5: Solve for x
    x = 51,915.16/246.14
  6. Step 6: Final answer
    x = 210.92

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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.