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Finding the Fourth Proportional to 244.16, 337.28 and 186.24

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Solution

The fourth proportional to 244.16, 337.28 and 186.24 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.16 : 337.28 = 186.24 : x
  2. Step 2: Convert to fraction form
    244.16/337.28 = 186.24/x
  3. Step 3: Cross multiply
    244.16x = 337.28 × 186.24
  4. Step 4: Simplify right side
    244.16x = 62,815.03
  5. Step 5: Solve for x
    x = 62,815.03/244.16
  6. Step 6: Final answer
    x = 257.27

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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.