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Finding the Fourth Proportional to 246.55, 340.16 and 159.24

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Solution

The fourth proportional to 246.55, 340.16 and 159.24 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.55 : 340.16 = 159.24 : x
  2. Step 2: Convert to fraction form
    246.55/340.16 = 159.24/x
  3. Step 3: Cross multiply
    246.55x = 340.16 × 159.24
  4. Step 4: Simplify right side
    246.55x = 54,167.08
  5. Step 5: Solve for x
    x = 54,167.08/246.55
  6. Step 6: Final answer
    x = 219.70

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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.