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Finding the Fourth Proportional to 294.12, 441.78 and 248.55

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Solution

The fourth proportional to 294.12, 441.78 and 248.55 is: 373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.12 : 441.78 = 248.55 : x
  2. Step 2: Convert to fraction form
    294.12/441.78 = 248.55/x
  3. Step 3: Cross multiply
    294.12x = 441.78 × 248.55
  4. Step 4: Simplify right side
    294.12x = 109,804.42
  5. Step 5: Solve for x
    x = 109,804.42/294.12
  6. Step 6: Final answer
    x = 373.33

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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.