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Finding the Fourth Proportional to 368.78, 552.82 and 137.51

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Solution

The fourth proportional to 368.78, 552.82 and 137.51 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.78 : 552.82 = 137.51 : x
  2. Step 2: Convert to fraction form
    368.78/552.82 = 137.51/x
  3. Step 3: Cross multiply
    368.78x = 552.82 × 137.51
  4. Step 4: Simplify right side
    368.78x = 76,018.28
  5. Step 5: Solve for x
    x = 76,018.28/368.78
  6. Step 6: Final answer
    x = 206.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.