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Finding the Fourth Proportional to 189.08, 284.63 and 172.07

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Solution

The fourth proportional to 189.08, 284.63 and 172.07 is: 259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.08 : 284.63 = 172.07 : x
  2. Step 2: Convert to fraction form
    189.08/284.63 = 172.07/x
  3. Step 3: Cross multiply
    189.08x = 284.63 × 172.07
  4. Step 4: Simplify right side
    189.08x = 48,975.29
  5. Step 5: Solve for x
    x = 48,975.29/189.08
  6. Step 6: Final answer
    x = 259.03

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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.