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Finding the Fourth Proportional to 246.48, 339.84 and 219.12

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Solution

The fourth proportional to 246.48, 339.84 and 219.12 is: 302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.48 : 339.84 = 219.12 : x
  2. Step 2: Convert to fraction form
    246.48/339.84 = 219.12/x
  3. Step 3: Cross multiply
    246.48x = 339.84 × 219.12
  4. Step 4: Simplify right side
    246.48x = 74,465.74
  5. Step 5: Solve for x
    x = 74,465.74/246.48
  6. Step 6: Final answer
    x = 302.12

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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.