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Finding the Fourth Proportional to 174.08, 259.68 and 164.96

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Solution

The fourth proportional to 174.08, 259.68 and 164.96 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.08 : 259.68 = 164.96 : x
  2. Step 2: Convert to fraction form
    174.08/259.68 = 164.96/x
  3. Step 3: Cross multiply
    174.08x = 259.68 × 164.96
  4. Step 4: Simplify right side
    174.08x = 42,836.81
  5. Step 5: Solve for x
    x = 42,836.81/174.08
  6. Step 6: Final answer
    x = 246.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.