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Finding the Fourth Proportional to 174.08, 259.54 and 172.66

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Solution

The fourth proportional to 174.08, 259.54 and 172.66 is: 257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.08 : 259.54 = 172.66 : x
  2. Step 2: Convert to fraction form
    174.08/259.54 = 172.66/x
  3. Step 3: Cross multiply
    174.08x = 259.54 × 172.66
  4. Step 4: Simplify right side
    174.08x = 44,812.18
  5. Step 5: Solve for x
    x = 44,812.18/174.08
  6. Step 6: Final answer
    x = 257.42

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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.