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Finding the Fourth Proportional to 272.10, 405.78 and 246.18

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Solution

The fourth proportional to 272.10, 405.78 and 246.18 is: 367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.10 : 405.78 = 246.18 : x
  2. Step 2: Convert to fraction form
    272.10/405.78 = 246.18/x
  3. Step 3: Cross multiply
    272.10x = 405.78 × 246.18
  4. Step 4: Simplify right side
    272.10x = 99,894.92
  5. Step 5: Solve for x
    x = 99,894.92/272.10
  6. Step 6: Final answer
    x = 367.13

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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.