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Finding the Fourth Proportional to 176.68, 243.14 and 163

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Solution

The fourth proportional to 176.68, 243.14 and 163 is: 224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.68 : 243.14 = 163 : x
  2. Step 2: Convert to fraction form
    176.68/243.14 = 163/x
  3. Step 3: Cross multiply
    176.68x = 243.14 × 163
  4. Step 4: Simplify right side
    176.68x = 39,631.01
  5. Step 5: Solve for x
    x = 39,631.01/176.68
  6. Step 6: Final answer
    x = 224.31

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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.