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Finding the Fourth Proportional to 191.76, 263.88 and 172.32

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Solution

The fourth proportional to 191.76, 263.88 and 172.32 is: 237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.76 : 263.88 = 172.32 : x
  2. Step 2: Convert to fraction form
    191.76/263.88 = 172.32/x
  3. Step 3: Cross multiply
    191.76x = 263.88 × 172.32
  4. Step 4: Simplify right side
    191.76x = 45,471.80
  5. Step 5: Solve for x
    x = 45,471.80/191.76
  6. Step 6: Final answer
    x = 237.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.