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Finding the Fourth Proportional to 174.39, 260.06 and 172.86

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Solution

The fourth proportional to 174.39, 260.06 and 172.86 is: 257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.39 : 260.06 = 172.86 : x
  2. Step 2: Convert to fraction form
    174.39/260.06 = 172.86/x
  3. Step 3: Cross multiply
    174.39x = 260.06 × 172.86
  4. Step 4: Simplify right side
    174.39x = 44,953.11
  5. Step 5: Solve for x
    x = 44,953.11/174.39
  6. Step 6: Final answer
    x = 257.77

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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.