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Finding the Fourth Proportional to 278.51, 417.96 and 180.77

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Solution

The fourth proportional to 278.51, 417.96 and 180.77 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.51 : 417.96 = 180.77 : x
  2. Step 2: Convert to fraction form
    278.51/417.96 = 180.77/x
  3. Step 3: Cross multiply
    278.51x = 417.96 × 180.77
  4. Step 4: Simplify right side
    278.51x = 75,554.63
  5. Step 5: Solve for x
    x = 75,554.63/278.51
  6. Step 6: Final answer
    x = 271.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.