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Finding the Fourth Proportional to 356.88, 536.56 and 249.12

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Solution

The fourth proportional to 356.88, 536.56 and 249.12 is: 374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.88 : 536.56 = 249.12 : x
  2. Step 2: Convert to fraction form
    356.88/536.56 = 249.12/x
  3. Step 3: Cross multiply
    356.88x = 536.56 × 249.12
  4. Step 4: Simplify right side
    356.88x = 133,667.83
  5. Step 5: Solve for x
    x = 133,667.83/356.88
  6. Step 6: Final answer
    x = 374.55

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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.