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Finding the Fourth Proportional to 278.02, 383.69 and 180.06

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Solution

The fourth proportional to 278.02, 383.69 and 180.06 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 383.69 = 180.06 : x
  2. Step 2: Convert to fraction form
    278.02/383.69 = 180.06/x
  3. Step 3: Cross multiply
    278.02x = 383.69 × 180.06
  4. Step 4: Simplify right side
    278.02x = 69,087.22
  5. Step 5: Solve for x
    x = 69,087.22/278.02
  6. Step 6: Final answer
    x = 248.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.