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Finding the Fourth Proportional to 173.04, 260.52 and 125.28

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Solution

The fourth proportional to 173.04, 260.52 and 125.28 is: 188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.04 : 260.52 = 125.28 : x
  2. Step 2: Convert to fraction form
    173.04/260.52 = 125.28/x
  3. Step 3: Cross multiply
    173.04x = 260.52 × 125.28
  4. Step 4: Simplify right side
    173.04x = 32,637.95
  5. Step 5: Solve for x
    x = 32,637.95/173.04
  6. Step 6: Final answer
    x = 188.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.