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Finding the Fourth Proportional to 278.36, 416.64 and 169.64

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Solution

The fourth proportional to 278.36, 416.64 and 169.64 is: 253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 416.64 = 169.64 : x
  2. Step 2: Convert to fraction form
    278.36/416.64 = 169.64/x
  3. Step 3: Cross multiply
    278.36x = 416.64 × 169.64
  4. Step 4: Simplify right side
    278.36x = 70,678.81
  5. Step 5: Solve for x
    x = 70,678.81/278.36
  6. Step 6: Final answer
    x = 253.91

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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.