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Finding the Fourth Proportional to 243.60, 336.27 and 155.16

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Solution

The fourth proportional to 243.60, 336.27 and 155.16 is: 214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.60 : 336.27 = 155.16 : x
  2. Step 2: Convert to fraction form
    243.60/336.27 = 155.16/x
  3. Step 3: Cross multiply
    243.60x = 336.27 × 155.16
  4. Step 4: Simplify right side
    243.60x = 52,175.65
  5. Step 5: Solve for x
    x = 52,175.65/243.60
  6. Step 6: Final answer
    x = 214.19

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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.