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Finding the Fourth Proportional to 278.32, 417.08 and 164.08

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Solution

The fourth proportional to 278.32, 417.08 and 164.08 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 417.08 = 164.08 : x
  2. Step 2: Convert to fraction form
    278.32/417.08 = 164.08/x
  3. Step 3: Cross multiply
    278.32x = 417.08 × 164.08
  4. Step 4: Simplify right side
    278.32x = 68,434.49
  5. Step 5: Solve for x
    x = 68,434.49/278.32
  6. Step 6: Final answer
    x = 245.88

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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.