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Finding the Fourth Proportional to 248.78, 373.20 and 120.50

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Solution

The fourth proportional to 248.78, 373.20 and 120.50 is: 180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.78 : 373.20 = 120.50 : x
  2. Step 2: Convert to fraction form
    248.78/373.20 = 120.50/x
  3. Step 3: Cross multiply
    248.78x = 373.20 × 120.50
  4. Step 4: Simplify right side
    248.78x = 44,970.60
  5. Step 5: Solve for x
    x = 44,970.60/248.78
  6. Step 6: Final answer
    x = 180.76

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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.