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Finding the Fourth Proportional to 278.31, 417.22 and 205.01

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Solution

The fourth proportional to 278.31, 417.22 and 205.01 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 417.22 = 205.01 : x
  2. Step 2: Convert to fraction form
    278.31/417.22 = 205.01/x
  3. Step 3: Cross multiply
    278.31x = 417.22 × 205.01
  4. Step 4: Simplify right side
    278.31x = 85,531.16
  5. Step 5: Solve for x
    x = 85,531.16/278.31
  6. Step 6: Final answer
    x = 307.32

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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.