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Finding the Fourth Proportional to 248.89, 373.32 and 77.89

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Solution

The fourth proportional to 248.89, 373.32 and 77.89 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.89 : 373.32 = 77.89 : x
  2. Step 2: Convert to fraction form
    248.89/373.32 = 77.89/x
  3. Step 3: Cross multiply
    248.89x = 373.32 × 77.89
  4. Step 4: Simplify right side
    248.89x = 29,077.89
  5. Step 5: Solve for x
    x = 29,077.89/248.89
  6. Step 6: Final answer
    x = 116.83

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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.