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Finding the Fourth Proportional to 278.93, 417.79 and 134.34

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Solution

The fourth proportional to 278.93, 417.79 and 134.34 is: 201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 417.79 = 134.34 : x
  2. Step 2: Convert to fraction form
    278.93/417.79 = 134.34/x
  3. Step 3: Cross multiply
    278.93x = 417.79 × 134.34
  4. Step 4: Simplify right side
    278.93x = 56,126.89
  5. Step 5: Solve for x
    x = 56,126.89/278.93
  6. Step 6: Final answer
    x = 201.22

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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.