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Finding the Fourth Proportional to 278.16, 417.75 and 180.77

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Solution

The fourth proportional to 278.16, 417.75 and 180.77 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 417.75 = 180.77 : x
  2. Step 2: Convert to fraction form
    278.16/417.75 = 180.77/x
  3. Step 3: Cross multiply
    278.16x = 417.75 × 180.77
  4. Step 4: Simplify right side
    278.16x = 75,516.55
  5. Step 5: Solve for x
    x = 75,516.55/278.16
  6. Step 6: Final answer
    x = 271.49

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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.