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Finding the Fourth Proportional to 246.51, 368.10 and 217.04

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Solution

The fourth proportional to 246.51, 368.10 and 217.04 is: 324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.51 : 368.10 = 217.04 : x
  2. Step 2: Convert to fraction form
    246.51/368.10 = 217.04/x
  3. Step 3: Cross multiply
    246.51x = 368.10 × 217.04
  4. Step 4: Simplify right side
    246.51x = 79,890.58
  5. Step 5: Solve for x
    x = 79,890.58/246.51
  6. Step 6: Final answer
    x = 324.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.