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Finding the Fourth Proportional to 174.90, 260.28 and 173.10

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Solution

The fourth proportional to 174.90, 260.28 and 173.10 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.90 : 260.28 = 173.10 : x
  2. Step 2: Convert to fraction form
    174.90/260.28 = 173.10/x
  3. Step 3: Cross multiply
    174.90x = 260.28 × 173.10
  4. Step 4: Simplify right side
    174.90x = 45,054.47
  5. Step 5: Solve for x
    x = 45,054.47/174.90
  6. Step 6: Final answer
    x = 257.60

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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.