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Finding the Fourth Proportional to 174.44, 259.80 and 172.32

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Solution

The fourth proportional to 174.44, 259.80 and 172.32 is: 256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.44 : 259.80 = 172.32 : x
  2. Step 2: Convert to fraction form
    174.44/259.80 = 172.32/x
  3. Step 3: Cross multiply
    174.44x = 259.80 × 172.32
  4. Step 4: Simplify right side
    174.44x = 44,768.74
  5. Step 5: Solve for x
    x = 44,768.74/174.44
  6. Step 6: Final answer
    x = 256.64

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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.