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Finding the Fourth Proportional to 246.16, 339.71 and 135.65

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Solution

The fourth proportional to 246.16, 339.71 and 135.65 is: 187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.16 : 339.71 = 135.65 : x
  2. Step 2: Convert to fraction form
    246.16/339.71 = 135.65/x
  3. Step 3: Cross multiply
    246.16x = 339.71 × 135.65
  4. Step 4: Simplify right side
    246.16x = 46,081.66
  5. Step 5: Solve for x
    x = 46,081.66/246.16
  6. Step 6: Final answer
    x = 187.20

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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.